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Finding the Third Proportional to 442,001.81 and 654,715.41

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Solution

The third proportional to 442,001.81 and 654,715.41 is: 969,797.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,001.81 : 654,715.41 = 654,715.41 : x
  2. Step 2: Convert to fraction form
    442,001.81/654,715.41 = 654,715.41/x
  3. Step 3: Cross multiply
    442,001.81x = 654,715.41 × 654,715.41
  4. Step 4: Simplify right side
    442,001.81x = 428,652,263,181.10
  5. Step 5: Solve for x
    x = 428,652,263,181.10/442,001.81
  6. Step 6: Final answer
    x = 969,797.52

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.