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Finding the Third Proportional to 224,484 and 491,088

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Solution

The third proportional to 224,484 and 491,088 is: 1,074,318.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,484 : 491,088 = 491,088 : x
  2. Step 2: Convert to fraction form
    224,484/491,088 = 491,088/x
  3. Step 3: Cross multiply
    224,484x = 491,088 × 491,088
  4. Step 4: Simplify right side
    224,484x = 241,167,423,744
  5. Step 5: Solve for x
    x = 241,167,423,744/224,484
  6. Step 6: Final answer
    x = 1,074,318.99

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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.