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Finding the Third Proportional to 372,012.12 and 502,651.20

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Solution

The third proportional to 372,012.12 and 502,651.20 is: 679,166.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,012.12 : 502,651.20 = 502,651.20 : x
  2. Step 2: Convert to fraction form
    372,012.12/502,651.20 = 502,651.20/x
  3. Step 3: Cross multiply
    372,012.12x = 502,651.20 × 502,651.20
  4. Step 4: Simplify right side
    372,012.12x = 252,658,224,149.09
  5. Step 5: Solve for x
    x = 252,658,224,149.09/372,012.12
  6. Step 6: Final answer
    x = 679,166.65

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.