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Finding the Third Proportional to 224,458 and 492,536

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Solution

The third proportional to 224,458 and 492,536 is: 1,080,788.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,458 : 492,536 = 492,536 : x
  2. Step 2: Convert to fraction form
    224,458/492,536 = 492,536/x
  3. Step 3: Cross multiply
    224,458x = 492,536 × 492,536
  4. Step 4: Simplify right side
    224,458x = 242,591,711,296
  5. Step 5: Solve for x
    x = 242,591,711,296/224,458
  6. Step 6: Final answer
    x = 1,080,788.88

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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.