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Finding the Third Proportional to 285,764 and 614,538

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Solution

The third proportional to 285,764 and 614,538 is: 1,321,569.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,764 : 614,538 = 614,538 : x
  2. Step 2: Convert to fraction form
    285,764/614,538 = 614,538/x
  3. Step 3: Cross multiply
    285,764x = 614,538 × 614,538
  4. Step 4: Simplify right side
    285,764x = 377,656,953,444
  5. Step 5: Solve for x
    x = 377,656,953,444/285,764
  6. Step 6: Final answer
    x = 1,321,569.38

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.