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Finding the Third Proportional to 337,639 and 720,476

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Solution

The third proportional to 337,639 and 720,476 is: 1,537,398.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,639 : 720,476 = 720,476 : x
  2. Step 2: Convert to fraction form
    337,639/720,476 = 720,476/x
  3. Step 3: Cross multiply
    337,639x = 720,476 × 720,476
  4. Step 4: Simplify right side
    337,639x = 519,085,666,576
  5. Step 5: Solve for x
    x = 519,085,666,576/337,639
  6. Step 6: Final answer
    x = 1,537,398.42

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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.