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Finding the Third Proportional to 323,060 and 754,610

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Solution

The third proportional to 323,060 and 754,610 is: 1,762,633.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,060 : 754,610 = 754,610 : x
  2. Step 2: Convert to fraction form
    323,060/754,610 = 754,610/x
  3. Step 3: Cross multiply
    323,060x = 754,610 × 754,610
  4. Step 4: Simplify right side
    323,060x = 569,436,252,100
  5. Step 5: Solve for x
    x = 569,436,252,100/323,060
  6. Step 6: Final answer
    x = 1,762,633.11

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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.