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Finding the Third Proportional to 323,280 and 706,749

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Solution

The third proportional to 323,280 and 706,749 is: 1,545,082.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,280 : 706,749 = 706,749 : x
  2. Step 2: Convert to fraction form
    323,280/706,749 = 706,749/x
  3. Step 3: Cross multiply
    323,280x = 706,749 × 706,749
  4. Step 4: Simplify right side
    323,280x = 499,494,149,001
  5. Step 5: Solve for x
    x = 499,494,149,001/323,280
  6. Step 6: Final answer
    x = 1,545,082.12

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.