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Finding the Third Proportional to 337,071 and 720,798

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Solution

The third proportional to 337,071 and 720,798 is: 1,541,365.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,071 : 720,798 = 720,798 : x
  2. Step 2: Convert to fraction form
    337,071/720,798 = 720,798/x
  3. Step 3: Cross multiply
    337,071x = 720,798 × 720,798
  4. Step 4: Simplify right side
    337,071x = 519,549,756,804
  5. Step 5: Solve for x
    x = 519,549,756,804/337,071
  6. Step 6: Final answer
    x = 1,541,365.93

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.