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Finding the Third Proportional to 268,663 and 583,937

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Solution

The third proportional to 268,663 and 583,937 is: 1,269,182.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,663 : 583,937 = 583,937 : x
  2. Step 2: Convert to fraction form
    268,663/583,937 = 583,937/x
  3. Step 3: Cross multiply
    268,663x = 583,937 × 583,937
  4. Step 4: Simplify right side
    268,663x = 340,982,419,969
  5. Step 5: Solve for x
    x = 340,982,419,969/268,663
  6. Step 6: Final answer
    x = 1,269,182.66

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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.