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Finding the Third Proportional to 285,301 and 441,524

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Solution

The third proportional to 285,301 and 441,524 is: 683,290.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,301 : 441,524 = 441,524 : x
  2. Step 2: Convert to fraction form
    285,301/441,524 = 441,524/x
  3. Step 3: Cross multiply
    285,301x = 441,524 × 441,524
  4. Step 4: Simplify right side
    285,301x = 194,943,442,576
  5. Step 5: Solve for x
    x = 194,943,442,576/285,301
  6. Step 6: Final answer
    x = 683,290.43

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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.