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Finding the Third Proportional to 406,720,972 and 572,752,753.50

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Solution

The third proportional to 406,720,972 and 572,752,753.50 is: 806,562,088.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,720,972 : 572,752,753.50 = 572,752,753.50 : x
  2. Step 2: Convert to fraction form
    406,720,972/572,752,753.50 = 572,752,753.50/x
  3. Step 3: Cross multiply
    406,720,972x = 572,752,753.50 × 572,752,753.50
  4. Step 4: Simplify right side
    406,720,972x = 328,045,716,641,831,744
  5. Step 5: Solve for x
    x = 328,045,716,641,831,744/406,720,972
  6. Step 6: Final answer
    x = 806,562,088.57

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.