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Finding the Third Proportional to 271,657.86 and 590,025.83

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Solution

The third proportional to 271,657.86 and 590,025.83 is: 1,281,503.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,657.86 : 590,025.83 = 590,025.83 : x
  2. Step 2: Convert to fraction form
    271,657.86/590,025.83 = 590,025.83/x
  3. Step 3: Cross multiply
    271,657.86x = 590,025.83 × 590,025.83
  4. Step 4: Simplify right side
    271,657.86x = 348,130,482,464.17
  5. Step 5: Solve for x
    x = 348,130,482,464.17/271,657.86
  6. Step 6: Final answer
    x = 1,281,503.43

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.