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Finding the Third Proportional to 214,632 and 462,737

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Solution

The third proportional to 214,632 and 462,737 is: 997,640.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,632 : 462,737 = 462,737 : x
  2. Step 2: Convert to fraction form
    214,632/462,737 = 462,737/x
  3. Step 3: Cross multiply
    214,632x = 462,737 × 462,737
  4. Step 4: Simplify right side
    214,632x = 214,125,531,169
  5. Step 5: Solve for x
    x = 214,125,531,169/214,632
  6. Step 6: Final answer
    x = 997,640.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.