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Finding the Third Proportional to 500,715 and 1,113,378.75

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Solution

The third proportional to 500,715 and 1,113,378.75 is: 2,475,684.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,715 : 1,113,378.75 = 1,113,378.75 : x
  2. Step 2: Convert to fraction form
    500,715/1,113,378.75 = 1,113,378.75/x
  3. Step 3: Cross multiply
    500,715x = 1,113,378.75 × 1,113,378.75
  4. Step 4: Simplify right side
    500,715x = 1,239,612,240,951.56
  5. Step 5: Solve for x
    x = 1,239,612,240,951.56/500,715
  6. Step 6: Final answer
    x = 2,475,684.25

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.