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Finding the Third Proportional to 317,709.25 and 484,017.50

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Solution

The third proportional to 317,709.25 and 484,017.50 is: 737,381.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,709.25 : 484,017.50 = 484,017.50 : x
  2. Step 2: Convert to fraction form
    317,709.25/484,017.50 = 484,017.50/x
  3. Step 3: Cross multiply
    317,709.25x = 484,017.50 × 484,017.50
  4. Step 4: Simplify right side
    317,709.25x = 234,272,940,306.25
  5. Step 5: Solve for x
    x = 234,272,940,306.25/317,709.25
  6. Step 6: Final answer
    x = 737,381.55

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.