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Finding the Third Proportional to 282,769 and 614,623

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Solution

The third proportional to 282,769 and 614,623 is: 1,335,936.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,769 : 614,623 = 614,623 : x
  2. Step 2: Convert to fraction form
    282,769/614,623 = 614,623/x
  3. Step 3: Cross multiply
    282,769x = 614,623 × 614,623
  4. Step 4: Simplify right side
    282,769x = 377,761,432,129
  5. Step 5: Solve for x
    x = 377,761,432,129/282,769
  6. Step 6: Final answer
    x = 1,335,936.51

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.