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Finding the Third Proportional to 285,561 and 428,396

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Solution

The third proportional to 285,561 and 428,396 is: 642,675.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,561 : 428,396 = 428,396 : x
  2. Step 2: Convert to fraction form
    285,561/428,396 = 428,396/x
  3. Step 3: Cross multiply
    285,561x = 428,396 × 428,396
  4. Step 4: Simplify right side
    285,561x = 183,523,132,816
  5. Step 5: Solve for x
    x = 183,523,132,816/285,561
  6. Step 6: Final answer
    x = 642,675.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.