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Finding the Third Proportional to 558,520.31 and 1,205,591.34

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Solution

The third proportional to 558,520.31 and 1,205,591.34 is: 2,602,323.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    558,520.31 : 1,205,591.34 = 1,205,591.34 : x
  2. Step 2: Convert to fraction form
    558,520.31/1,205,591.34 = 1,205,591.34/x
  3. Step 3: Cross multiply
    558,520.31x = 1,205,591.34 × 1,205,591.34
  4. Step 4: Simplify right side
    558,520.31x = 1,453,450,488,124.93
  5. Step 5: Solve for x
    x = 1,453,450,488,124.93/558,520.31
  6. Step 6: Final answer
    x = 2,602,323.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.