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Finding the Third Proportional to 317,488.50 and 476,190

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Solution

The third proportional to 317,488.50 and 476,190 is: 714,220.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,488.50 : 476,190 = 476,190 : x
  2. Step 2: Convert to fraction form
    317,488.50/476,190 = 476,190/x
  3. Step 3: Cross multiply
    317,488.50x = 476,190 × 476,190
  4. Step 4: Simplify right side
    317,488.50x = 226,756,916,100
  5. Step 5: Solve for x
    x = 226,756,916,100/317,488.50
  6. Step 6: Final answer
    x = 714,220.88

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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.