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Finding the Third Proportional to 224,592 and 491,385

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Solution

The third proportional to 224,592 and 491,385 is: 1,075,101.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,592 : 491,385 = 491,385 : x
  2. Step 2: Convert to fraction form
    224,592/491,385 = 491,385/x
  3. Step 3: Cross multiply
    224,592x = 491,385 × 491,385
  4. Step 4: Simplify right side
    224,592x = 241,459,218,225
  5. Step 5: Solve for x
    x = 241,459,218,225/224,592
  6. Step 6: Final answer
    x = 1,075,101.60

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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.