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Finding the Third Proportional to 285,757 and 614,526

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Solution

The third proportional to 285,757 and 614,526 is: 1,321,550.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,757 : 614,526 = 614,526 : x
  2. Step 2: Convert to fraction form
    285,757/614,526 = 614,526/x
  3. Step 3: Cross multiply
    285,757x = 614,526 × 614,526
  4. Step 4: Simplify right side
    285,757x = 377,642,204,676
  5. Step 5: Solve for x
    x = 377,642,204,676/285,757
  6. Step 6: Final answer
    x = 1,321,550.14

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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.