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Finding the Third Proportional to 337,572 and 720,342

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Solution

The third proportional to 337,572 and 720,342 is: 1,537,131.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,572 : 720,342 = 720,342 : x
  2. Step 2: Convert to fraction form
    337,572/720,342 = 720,342/x
  3. Step 3: Cross multiply
    337,572x = 720,342 × 720,342
  4. Step 4: Simplify right side
    337,572x = 518,892,596,964
  5. Step 5: Solve for x
    x = 518,892,596,964/337,572
  6. Step 6: Final answer
    x = 1,537,131.63

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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.