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Finding the Third Proportional to 317,887.88 and 476,838.56

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Solution

The third proportional to 317,887.88 and 476,838.56 is: 715,267.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,887.88 : 476,838.56 = 476,838.56 : x
  2. Step 2: Convert to fraction form
    317,887.88/476,838.56 = 476,838.56/x
  3. Step 3: Cross multiply
    317,887.88x = 476,838.56 × 476,838.56
  4. Step 4: Simplify right side
    317,887.88x = 227,375,014,687.07
  5. Step 5: Solve for x
    x = 227,375,014,687.07/317,887.88
  6. Step 6: Final answer
    x = 715,267.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.