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Finding the Third Proportional to 321,751.13 and 482,005.69

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Solution

The third proportional to 321,751.13 and 482,005.69 is: 722,078.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,751.13 : 482,005.69 = 482,005.69 : x
  2. Step 2: Convert to fraction form
    321,751.13/482,005.69 = 482,005.69/x
  3. Step 3: Cross multiply
    321,751.13x = 482,005.69 × 482,005.69
  4. Step 4: Simplify right side
    321,751.13x = 232,329,482,782.35
  5. Step 5: Solve for x
    x = 232,329,482,782.35/321,751.13
  6. Step 6: Final answer
    x = 722,078.23

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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.