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Finding the Third Proportional to 337,689 and 720,576

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Solution

The third proportional to 337,689 and 720,576 is: 1,537,597.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,689 : 720,576 = 720,576 : x
  2. Step 2: Convert to fraction form
    337,689/720,576 = 720,576/x
  3. Step 3: Cross multiply
    337,689x = 720,576 × 720,576
  4. Step 4: Simplify right side
    337,689x = 519,229,771,776
  5. Step 5: Solve for x
    x = 519,229,771,776/337,689
  6. Step 6: Final answer
    x = 1,537,597.53

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.