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Finding the Third Proportional to 271,438.31 and 584,947.13

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Solution

The third proportional to 271,438.31 and 584,947.13 is: 1,260,555.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,438.31 : 584,947.13 = 584,947.13 : x
  2. Step 2: Convert to fraction form
    271,438.31/584,947.13 = 584,947.13/x
  3. Step 3: Cross multiply
    271,438.31x = 584,947.13 × 584,947.13
  4. Step 4: Simplify right side
    271,438.31x = 342,163,139,045.77
  5. Step 5: Solve for x
    x = 342,163,139,045.77/271,438.31
  6. Step 6: Final answer
    x = 1,260,555.80

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.