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Finding the Third Proportional to 361,853.44 and 532,254.75

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Solution

The third proportional to 361,853.44 and 532,254.75 is: 782,900.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,853.44 : 532,254.75 = 532,254.75 : x
  2. Step 2: Convert to fraction form
    361,853.44/532,254.75 = 532,254.75/x
  3. Step 3: Cross multiply
    361,853.44x = 532,254.75 × 532,254.75
  4. Step 4: Simplify right side
    361,853.44x = 283,295,118,897.56
  5. Step 5: Solve for x
    x = 283,295,118,897.56/361,853.44
  6. Step 6: Final answer
    x = 782,900.17

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.