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Finding the Third Proportional to 334,396,957.50 and 516,505,700.25

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Solution

The third proportional to 334,396,957.50 and 516,505,700.25 is: 797,788,772.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,396,957.50 : 516,505,700.25 = 516,505,700.25 : x
  2. Step 2: Convert to fraction form
    334,396,957.50/516,505,700.25 = 516,505,700.25/x
  3. Step 3: Cross multiply
    334,396,957.50x = 516,505,700.25 × 516,505,700.25
  4. Step 4: Simplify right side
    334,396,957.50x = 266,778,138,390,742,848
  5. Step 5: Solve for x
    x = 266,778,138,390,742,848/334,396,957.50
  6. Step 6: Final answer
    x = 797,788,772.92

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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.