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Finding the Third Proportional to 574,028 and 802,524

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Solution

The third proportional to 574,028 and 802,524 is: 1,121,974.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    574,028 : 802,524 = 802,524 : x
  2. Step 2: Convert to fraction form
    574,028/802,524 = 802,524/x
  3. Step 3: Cross multiply
    574,028x = 802,524 × 802,524
  4. Step 4: Simplify right side
    574,028x = 644,044,770,576
  5. Step 5: Solve for x
    x = 644,044,770,576/574,028
  6. Step 6: Final answer
    x = 1,121,974.49

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.