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Finding the Third Proportional to 503,449.50 and 762,486

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Solution

The third proportional to 503,449.50 and 762,486 is: 1,154,802.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,449.50 : 762,486 = 762,486 : x
  2. Step 2: Convert to fraction form
    503,449.50/762,486 = 762,486/x
  3. Step 3: Cross multiply
    503,449.50x = 762,486 × 762,486
  4. Step 4: Simplify right side
    503,449.50x = 581,384,900,196
  5. Step 5: Solve for x
    x = 581,384,900,196/503,449.50
  6. Step 6: Final answer
    x = 1,154,802.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.