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Finding the Third Proportional to 261,943.88 and 400,434

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Solution

The third proportional to 261,943.88 and 400,434 is: 612,144.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,943.88 : 400,434 = 400,434 : x
  2. Step 2: Convert to fraction form
    261,943.88/400,434 = 400,434/x
  3. Step 3: Cross multiply
    261,943.88x = 400,434 × 400,434
  4. Step 4: Simplify right side
    261,943.88x = 160,347,388,356
  5. Step 5: Solve for x
    x = 160,347,388,356/261,943.88
  6. Step 6: Final answer
    x = 612,144.06

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.