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Finding the Third Proportional to 218,938.50 and 473,861.25

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Solution

The third proportional to 218,938.50 and 473,861.25 is: 1,025,605.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,938.50 : 473,861.25 = 473,861.25 : x
  2. Step 2: Convert to fraction form
    218,938.50/473,861.25 = 473,861.25/x
  3. Step 3: Cross multiply
    218,938.50x = 473,861.25 × 473,861.25
  4. Step 4: Simplify right side
    218,938.50x = 224,544,484,251.56
  5. Step 5: Solve for x
    x = 224,544,484,251.56/218,938.50
  6. Step 6: Final answer
    x = 1,025,605.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.