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Finding the Third Proportional to 334,396,960.50 and 516,505,705.50

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Solution

The third proportional to 334,396,960.50 and 516,505,705.50 is: 797,788,781.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,396,960.50 : 516,505,705.50 = 516,505,705.50 : x
  2. Step 2: Convert to fraction form
    334,396,960.50/516,505,705.50 = 516,505,705.50/x
  3. Step 3: Cross multiply
    334,396,960.50x = 516,505,705.50 × 516,505,705.50
  4. Step 4: Simplify right side
    334,396,960.50x = 266,778,143,814,052,736
  5. Step 5: Solve for x
    x = 266,778,143,814,052,736/334,396,960.50
  6. Step 6: Final answer
    x = 797,788,781.98

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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.