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Finding the Third Proportional to 322,825.50 and 472,776.75

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Solution

The third proportional to 322,825.50 and 472,776.75 is: 692,379.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,825.50 : 472,776.75 = 472,776.75 : x
  2. Step 2: Convert to fraction form
    322,825.50/472,776.75 = 472,776.75/x
  3. Step 3: Cross multiply
    322,825.50x = 472,776.75 × 472,776.75
  4. Step 4: Simplify right side
    322,825.50x = 223,517,855,340.56
  5. Step 5: Solve for x
    x = 223,517,855,340.56/322,825.50
  6. Step 6: Final answer
    x = 692,379.80

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.