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Finding the Third Proportional to 449,128.13 and 645,657.75

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Solution

The third proportional to 449,128.13 and 645,657.75 is: 928,184.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,128.13 : 645,657.75 = 645,657.75 : x
  2. Step 2: Convert to fraction form
    449,128.13/645,657.75 = 645,657.75/x
  3. Step 3: Cross multiply
    449,128.13x = 645,657.75 × 645,657.75
  4. Step 4: Simplify right side
    449,128.13x = 416,873,930,135.06
  5. Step 5: Solve for x
    x = 416,873,930,135.06/449,128.13
  6. Step 6: Final answer
    x = 928,184.87

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.