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Finding the Third Proportional to 271,877.06 and 583,120.13

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Solution

The third proportional to 271,877.06 and 583,120.13 is: 1,250,672.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,877.06 : 583,120.13 = 583,120.13 : x
  2. Step 2: Convert to fraction form
    271,877.06/583,120.13 = 583,120.13/x
  3. Step 3: Cross multiply
    271,877.06x = 583,120.13 × 583,120.13
  4. Step 4: Simplify right side
    271,877.06x = 340,029,080,180.02
  5. Step 5: Solve for x
    x = 340,029,080,180.02/271,877.06
  6. Step 6: Final answer
    x = 1,250,672.19

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.