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Finding the Third Proportional to 361,848.31 and 532,247.50

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Solution

The third proportional to 361,848.31 and 532,247.50 is: 782,889.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,848.31 : 532,247.50 = 532,247.50 : x
  2. Step 2: Convert to fraction form
    361,848.31/532,247.50 = 532,247.50/x
  3. Step 3: Cross multiply
    361,848.31x = 532,247.50 × 532,247.50
  4. Step 4: Simplify right side
    361,848.31x = 283,287,401,256.25
  5. Step 5: Solve for x
    x = 283,287,401,256.25/361,848.31
  6. Step 6: Final answer
    x = 782,889.93

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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.