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Finding the Third Proportional to 337,074 and 720,804

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Solution

The third proportional to 337,074 and 720,804 is: 1,541,377.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,074 : 720,804 = 720,804 : x
  2. Step 2: Convert to fraction form
    337,074/720,804 = 720,804/x
  3. Step 3: Cross multiply
    337,074x = 720,804 × 720,804
  4. Step 4: Simplify right side
    337,074x = 519,558,406,416
  5. Step 5: Solve for x
    x = 519,558,406,416/337,074
  6. Step 6: Final answer
    x = 1,541,377.88

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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.