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Finding the Third Proportional to 323,540 and 702,966

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Solution

The third proportional to 323,540 and 702,966 is: 1,527,357.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,540 : 702,966 = 702,966 : x
  2. Step 2: Convert to fraction form
    323,540/702,966 = 702,966/x
  3. Step 3: Cross multiply
    323,540x = 702,966 × 702,966
  4. Step 4: Simplify right side
    323,540x = 494,161,197,156
  5. Step 5: Solve for x
    x = 494,161,197,156/323,540
  6. Step 6: Final answer
    x = 1,527,357.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.