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Finding the Third Proportional to 503,278.25 and 762,246.75

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Solution

The third proportional to 503,278.25 and 762,246.75 is: 1,154,470.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,278.25 : 762,246.75 = 762,246.75 : x
  2. Step 2: Convert to fraction form
    503,278.25/762,246.75 = 762,246.75/x
  3. Step 3: Cross multiply
    503,278.25x = 762,246.75 × 762,246.75
  4. Step 4: Simplify right side
    503,278.25x = 581,020,107,885.56
  5. Step 5: Solve for x
    x = 581,020,107,885.56/503,278.25
  6. Step 6: Final answer
    x = 1,154,470.93

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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.