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Finding the Third Proportional to 268,722 and 586,564

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Solution

The third proportional to 268,722 and 586,564 is: 1,280,346.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,722 : 586,564 = 586,564 : x
  2. Step 2: Convert to fraction form
    268,722/586,564 = 586,564/x
  3. Step 3: Cross multiply
    268,722x = 586,564 × 586,564
  4. Step 4: Simplify right side
    268,722x = 344,057,326,096
  5. Step 5: Solve for x
    x = 344,057,326,096/268,722
  6. Step 6: Final answer
    x = 1,280,346.70

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.