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Finding the Third Proportional to 392,724 and 604,524

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Solution

The third proportional to 392,724 and 604,524 is: 930,549.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,724 : 604,524 = 604,524 : x
  2. Step 2: Convert to fraction form
    392,724/604,524 = 604,524/x
  3. Step 3: Cross multiply
    392,724x = 604,524 × 604,524
  4. Step 4: Simplify right side
    392,724x = 365,449,266,576
  5. Step 5: Solve for x
    x = 365,449,266,576/392,724
  6. Step 6: Final answer
    x = 930,549.87

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.