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Finding the Third Proportional to 271,353.38 and 572,808.38

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Solution

The third proportional to 271,353.38 and 572,808.38 is: 1,209,159.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,353.38 : 572,808.38 = 572,808.38 : x
  2. Step 2: Convert to fraction form
    271,353.38/572,808.38 = 572,808.38/x
  3. Step 3: Cross multiply
    271,353.38x = 572,808.38 × 572,808.38
  4. Step 4: Simplify right side
    271,353.38x = 328,109,434,470.14
  5. Step 5: Solve for x
    x = 328,109,434,470.14/271,353.38
  6. Step 6: Final answer
    x = 1,209,159.22

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.