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Finding the Third Proportional to 503,296.45 and 762,270.75

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Solution

The third proportional to 503,296.45 and 762,270.75 is: 1,154,501.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,296.45 : 762,270.75 = 762,270.75 : x
  2. Step 2: Convert to fraction form
    503,296.45/762,270.75 = 762,270.75/x
  3. Step 3: Cross multiply
    503,296.45x = 762,270.75 × 762,270.75
  4. Step 4: Simplify right side
    503,296.45x = 581,056,696,305.56
  5. Step 5: Solve for x
    x = 581,056,696,305.56/503,296.45
  6. Step 6: Final answer
    x = 1,154,501.87

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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.