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Finding the Third Proportional to 678,165.75 and 923,545.13

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Solution

The third proportional to 678,165.75 and 923,545.13 is: 1,257,709.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,165.75 : 923,545.13 = 923,545.13 : x
  2. Step 2: Convert to fraction form
    678,165.75/923,545.13 = 923,545.13/x
  3. Step 3: Cross multiply
    678,165.75x = 923,545.13 × 923,545.13
  4. Step 4: Simplify right side
    678,165.75x = 852,935,597,911.27
  5. Step 5: Solve for x
    x = 852,935,597,911.27/678,165.75
  6. Step 6: Final answer
    x = 1,257,709.64

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.