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Finding the Third Proportional to 281,696 and 586,624

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Solution

The third proportional to 281,696 and 586,624 is: 1,221,627.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,696 : 586,624 = 586,624 : x
  2. Step 2: Convert to fraction form
    281,696/586,624 = 586,624/x
  3. Step 3: Cross multiply
    281,696x = 586,624 × 586,624
  4. Step 4: Simplify right side
    281,696x = 344,127,717,376
  5. Step 5: Solve for x
    x = 344,127,717,376/281,696
  6. Step 6: Final answer
    x = 1,221,627.99

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.