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Finding the Third Proportional to 632,196 and 944,548

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Solution

The third proportional to 632,196 and 944,548 is: 1,411,225.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,196 : 944,548 = 944,548 : x
  2. Step 2: Convert to fraction form
    632,196/944,548 = 944,548/x
  3. Step 3: Cross multiply
    632,196x = 944,548 × 944,548
  4. Step 4: Simplify right side
    632,196x = 892,170,924,304
  5. Step 5: Solve for x
    x = 892,170,924,304/632,196
  6. Step 6: Final answer
    x = 1,411,225.20

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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.