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Finding the Third Proportional to 484,982.44 and 744,422.91

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Solution

The third proportional to 484,982.44 and 744,422.91 is: 1,142,650.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,982.44 : 744,422.91 = 744,422.91 : x
  2. Step 2: Convert to fraction form
    484,982.44/744,422.91 = 744,422.91/x
  3. Step 3: Cross multiply
    484,982.44x = 744,422.91 × 744,422.91
  4. Step 4: Simplify right side
    484,982.44x = 554,165,463,349.70
  5. Step 5: Solve for x
    x = 554,165,463,349.70/484,982.44
  6. Step 6: Final answer
    x = 1,142,650.58

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.