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Finding the Third Proportional to 323,058 and 754,605

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Solution

The third proportional to 323,058 and 754,605 is: 1,762,620.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,058 : 754,605 = 754,605 : x
  2. Step 2: Convert to fraction form
    323,058/754,605 = 754,605/x
  3. Step 3: Cross multiply
    323,058x = 754,605 × 754,605
  4. Step 4: Simplify right side
    323,058x = 569,428,706,025
  5. Step 5: Solve for x
    x = 569,428,706,025/323,058
  6. Step 6: Final answer
    x = 1,762,620.66

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.