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Finding the Third Proportional to 224,829 and 491,076

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Solution

The third proportional to 224,829 and 491,076 is: 1,072,618.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,829 : 491,076 = 491,076 : x
  2. Step 2: Convert to fraction form
    224,829/491,076 = 491,076/x
  3. Step 3: Cross multiply
    224,829x = 491,076 × 491,076
  4. Step 4: Simplify right side
    224,829x = 241,155,637,776
  5. Step 5: Solve for x
    x = 241,155,637,776/224,829
  6. Step 6: Final answer
    x = 1,072,618.02

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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.