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Finding the Third Proportional to 271,455.56 and 584,985.19

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Solution

The third proportional to 271,455.56 and 584,985.19 is: 1,260,639.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,455.56 : 584,985.19 = 584,985.19 : x
  2. Step 2: Convert to fraction form
    271,455.56/584,985.19 = 584,985.19/x
  3. Step 3: Cross multiply
    271,455.56x = 584,985.19 × 584,985.19
  4. Step 4: Simplify right side
    271,455.56x = 342,207,669,594.41
  5. Step 5: Solve for x
    x = 342,207,669,594.41/271,455.56
  6. Step 6: Final answer
    x = 1,260,639.74

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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.