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Finding the Third Proportional to 727,310.25 and 1,543,275.38

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Solution

The third proportional to 727,310.25 and 1,543,275.38 is: 3,274,667.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    727,310.25 : 1,543,275.38 = 1,543,275.38 : x
  2. Step 2: Convert to fraction form
    727,310.25/1,543,275.38 = 1,543,275.38/x
  3. Step 3: Cross multiply
    727,310.25x = 1,543,275.38 × 1,543,275.38
  4. Step 4: Simplify right side
    727,310.25x = 2,381,698,883,081.39
  5. Step 5: Solve for x
    x = 2,381,698,883,081.39/727,310.25
  6. Step 6: Final answer
    x = 3,274,667.01

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.