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Finding the Third Proportional to 370,600 and 574,188

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Solution

The third proportional to 370,600 and 574,188 is: 889,616.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,600 : 574,188 = 574,188 : x
  2. Step 2: Convert to fraction form
    370,600/574,188 = 574,188/x
  3. Step 3: Cross multiply
    370,600x = 574,188 × 574,188
  4. Step 4: Simplify right side
    370,600x = 329,691,859,344
  5. Step 5: Solve for x
    x = 329,691,859,344/370,600
  6. Step 6: Final answer
    x = 889,616.46

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.