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Finding the Third Proportional to 459,643,250 and 731,736,831

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Solution

The third proportional to 459,643,250 and 731,736,831 is: 1,164,900,800.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,643,250 : 731,736,831 = 731,736,831 : x
  2. Step 2: Convert to fraction form
    459,643,250/731,736,831 = 731,736,831/x
  3. Step 3: Cross multiply
    459,643,250x = 731,736,831 × 731,736,831
  4. Step 4: Simplify right side
    459,643,250x = 535,438,789,841,922,560
  5. Step 5: Solve for x
    x = 535,438,789,841,922,560/459,643,250
  6. Step 6: Final answer
    x = 1,164,900,800.44

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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.