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Finding the Third Proportional to 237,114 and 421,597

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Solution

The third proportional to 237,114 and 421,597 is: 749,614.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,114 : 421,597 = 421,597 : x
  2. Step 2: Convert to fraction form
    237,114/421,597 = 421,597/x
  3. Step 3: Cross multiply
    237,114x = 421,597 × 421,597
  4. Step 4: Simplify right side
    237,114x = 177,744,030,409
  5. Step 5: Solve for x
    x = 177,744,030,409/237,114
  6. Step 6: Final answer
    x = 749,614.24

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.