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Finding the Third Proportional to 218,937.38 and 473,859

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Solution

The third proportional to 218,937.38 and 473,859 is: 1,025,600.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,937.38 : 473,859 = 473,859 : x
  2. Step 2: Convert to fraction form
    218,937.38/473,859 = 473,859/x
  3. Step 3: Cross multiply
    218,937.38x = 473,859 × 473,859
  4. Step 4: Simplify right side
    218,937.38x = 224,542,351,881
  5. Step 5: Solve for x
    x = 224,542,351,881/218,937.38
  6. Step 6: Final answer
    x = 1,025,600.82

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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.