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Finding the Third Proportional to 337,540 and 738,130

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Solution

The third proportional to 337,540 and 738,130 is: 1,614,137.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,540 : 738,130 = 738,130 : x
  2. Step 2: Convert to fraction form
    337,540/738,130 = 738,130/x
  3. Step 3: Cross multiply
    337,540x = 738,130 × 738,130
  4. Step 4: Simplify right side
    337,540x = 544,835,896,900
  5. Step 5: Solve for x
    x = 544,835,896,900/337,540
  6. Step 6: Final answer
    x = 1,614,137.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.