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Finding the Third Proportional to 627,810.75 and 911,098.13

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Solution

The third proportional to 627,810.75 and 911,098.13 is: 1,322,213.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    627,810.75 : 911,098.13 = 911,098.13 : x
  2. Step 2: Convert to fraction form
    627,810.75/911,098.13 = 911,098.13/x
  3. Step 3: Cross multiply
    627,810.75x = 911,098.13 × 911,098.13
  4. Step 4: Simplify right side
    627,810.75x = 830,099,793,378.52
  5. Step 5: Solve for x
    x = 830,099,793,378.52/627,810.75
  6. Step 6: Final answer
    x = 1,322,213.41

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.