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Finding the Third Proportional to 432,096 and 633,552

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Solution

The third proportional to 432,096 and 633,552 is: 928,932.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,096 : 633,552 = 633,552 : x
  2. Step 2: Convert to fraction form
    432,096/633,552 = 633,552/x
  3. Step 3: Cross multiply
    432,096x = 633,552 × 633,552
  4. Step 4: Simplify right side
    432,096x = 401,388,136,704
  5. Step 5: Solve for x
    x = 401,388,136,704/432,096
  6. Step 6: Final answer
    x = 928,932.78

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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.