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Finding the Third Proportional to 272,624 and 586,908

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Solution

The third proportional to 272,624 and 586,908 is: 1,263,502.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,624 : 586,908 = 586,908 : x
  2. Step 2: Convert to fraction form
    272,624/586,908 = 586,908/x
  3. Step 3: Cross multiply
    272,624x = 586,908 × 586,908
  4. Step 4: Simplify right side
    272,624x = 344,461,000,464
  5. Step 5: Solve for x
    x = 344,461,000,464/272,624
  6. Step 6: Final answer
    x = 1,263,502.11

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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.