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Finding the Third Proportional to 459,395,565 and 706,123,975.50

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Solution

The third proportional to 459,395,565 and 706,123,975.50 is: 1,085,363,261.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,395,565 : 706,123,975.50 = 706,123,975.50 : x
  2. Step 2: Convert to fraction form
    459,395,565/706,123,975.50 = 706,123,975.50/x
  3. Step 3: Cross multiply
    459,395,565x = 706,123,975.50 × 706,123,975.50
  4. Step 4: Simplify right side
    459,395,565x = 498,611,068,775,924,608
  5. Step 5: Solve for x
    x = 498,611,068,775,924,608/459,395,565
  6. Step 6: Final answer
    x = 1,085,363,261.56

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.