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Finding the Third Proportional to 272,882 and 586,805

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Solution

The third proportional to 272,882 and 586,805 is: 1,261,864.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,882 : 586,805 = 586,805 : x
  2. Step 2: Convert to fraction form
    272,882/586,805 = 586,805/x
  3. Step 3: Cross multiply
    272,882x = 586,805 × 586,805
  4. Step 4: Simplify right side
    272,882x = 344,340,108,025
  5. Step 5: Solve for x
    x = 344,340,108,025/272,882
  6. Step 6: Final answer
    x = 1,261,864.50

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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.