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Finding the Third Proportional to 421,534.13 and 642,805.88

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Solution

The third proportional to 421,534.13 and 642,805.88 is: 980,227.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,534.13 : 642,805.88 = 642,805.88 : x
  2. Step 2: Convert to fraction form
    421,534.13/642,805.88 = 642,805.88/x
  3. Step 3: Cross multiply
    421,534.13x = 642,805.88 × 642,805.88
  4. Step 4: Simplify right side
    421,534.13x = 413,199,392,934.52
  5. Step 5: Solve for x
    x = 413,199,392,934.52/421,534.13
  6. Step 6: Final answer
    x = 980,227.62

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.