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Finding the Third Proportional to 542,545.50 and 1,178,496

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Solution

The third proportional to 542,545.50 and 1,178,496 is: 2,559,882.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,545.50 : 1,178,496 = 1,178,496 : x
  2. Step 2: Convert to fraction form
    542,545.50/1,178,496 = 1,178,496/x
  3. Step 3: Cross multiply
    542,545.50x = 1,178,496 × 1,178,496
  4. Step 4: Simplify right side
    542,545.50x = 1,388,852,822,016
  5. Step 5: Solve for x
    x = 1,388,852,822,016/542,545.50
  6. Step 6: Final answer
    x = 2,559,882.67

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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.