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Finding the Third Proportional to 224,416 and 491,061

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Solution

The third proportional to 224,416 and 491,061 is: 1,074,526.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,416 : 491,061 = 491,061 : x
  2. Step 2: Convert to fraction form
    224,416/491,061 = 491,061/x
  3. Step 3: Cross multiply
    224,416x = 491,061 × 491,061
  4. Step 4: Simplify right side
    224,416x = 241,140,905,721
  5. Step 5: Solve for x
    x = 241,140,905,721/224,416
  6. Step 6: Final answer
    x = 1,074,526.35

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.