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Finding the Third Proportional to 432,098 and 633,555

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Solution

The third proportional to 432,098 and 633,555 is: 928,937.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,098 : 633,555 = 633,555 : x
  2. Step 2: Convert to fraction form
    432,098/633,555 = 633,555/x
  3. Step 3: Cross multiply
    432,098x = 633,555 × 633,555
  4. Step 4: Simplify right side
    432,098x = 401,391,938,025
  5. Step 5: Solve for x
    x = 401,391,938,025/432,098
  6. Step 6: Final answer
    x = 928,937.27

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.