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Finding the Third Proportional to 632,188 and 944,536

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Solution

The third proportional to 632,188 and 944,536 is: 1,411,207.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,188 : 944,536 = 944,536 : x
  2. Step 2: Convert to fraction form
    632,188/944,536 = 944,536/x
  3. Step 3: Cross multiply
    632,188x = 944,536 × 944,536
  4. Step 4: Simplify right side
    632,188x = 892,148,255,296
  5. Step 5: Solve for x
    x = 892,148,255,296/632,188
  6. Step 6: Final answer
    x = 1,411,207.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.