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Finding the Third Proportional to 271,585.13 and 597,561.75

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Solution

The third proportional to 271,585.13 and 597,561.75 is: 1,314,799.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,585.13 : 597,561.75 = 597,561.75 : x
  2. Step 2: Convert to fraction form
    271,585.13/597,561.75 = 597,561.75/x
  3. Step 3: Cross multiply
    271,585.13x = 597,561.75 × 597,561.75
  4. Step 4: Simplify right side
    271,585.13x = 357,080,045,063.06
  5. Step 5: Solve for x
    x = 357,080,045,063.06/271,585.13
  6. Step 6: Final answer
    x = 1,314,799.72

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.