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Finding the Third Proportional to 459,643,258.50 and 731,736,843.75

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Solution

The third proportional to 459,643,258.50 and 731,736,843.75 is: 1,164,900,819.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,643,258.50 : 731,736,843.75 = 731,736,843.75 : x
  2. Step 2: Convert to fraction form
    459,643,258.50/731,736,843.75 = 731,736,843.75/x
  3. Step 3: Cross multiply
    459,643,258.50x = 731,736,843.75 × 731,736,843.75
  4. Step 4: Simplify right side
    459,643,258.50x = 535,438,808,501,211,904
  5. Step 5: Solve for x
    x = 535,438,808,501,211,904/459,643,258.50
  6. Step 6: Final answer
    x = 1,164,900,819.49

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.