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Finding the Third Proportional to 337,536 and 720,270

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Solution

The third proportional to 337,536 and 720,270 is: 1,536,988.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,536 : 720,270 = 720,270 : x
  2. Step 2: Convert to fraction form
    337,536/720,270 = 720,270/x
  3. Step 3: Cross multiply
    337,536x = 720,270 × 720,270
  4. Step 4: Simplify right side
    337,536x = 518,788,872,900
  5. Step 5: Solve for x
    x = 518,788,872,900/337,536
  6. Step 6: Final answer
    x = 1,536,988.27

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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.