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Finding the Third Proportional to 452,982.38 and 634,867.88

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Solution

The third proportional to 452,982.38 and 634,867.88 is: 889,785.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,982.38 : 634,867.88 = 634,867.88 : x
  2. Step 2: Convert to fraction form
    452,982.38/634,867.88 = 634,867.88/x
  3. Step 3: Cross multiply
    452,982.38x = 634,867.88 × 634,867.88
  4. Step 4: Simplify right side
    452,982.38x = 403,057,218,707.02
  5. Step 5: Solve for x
    x = 403,057,218,707.02/452,982.38
  6. Step 6: Final answer
    x = 889,785.65

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.