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Finding the Third Proportional to 503,680.50 and 760,371.75

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Solution

The third proportional to 503,680.50 and 760,371.75 is: 1,147,880.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,680.50 : 760,371.75 = 760,371.75 : x
  2. Step 2: Convert to fraction form
    503,680.50/760,371.75 = 760,371.75/x
  3. Step 3: Cross multiply
    503,680.50x = 760,371.75 × 760,371.75
  4. Step 4: Simplify right side
    503,680.50x = 578,165,198,198.06
  5. Step 5: Solve for x
    x = 578,165,198,198.06/503,680.50
  6. Step 6: Final answer
    x = 1,147,880.85

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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.