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Finding the Third Proportional to 268,552.13 and 376,462.69

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Solution

The third proportional to 268,552.13 and 376,462.69 is: 527,734.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,552.13 : 376,462.69 = 376,462.69 : x
  2. Step 2: Convert to fraction form
    268,552.13/376,462.69 = 376,462.69/x
  3. Step 3: Cross multiply
    268,552.13x = 376,462.69 × 376,462.69
  4. Step 4: Simplify right side
    268,552.13x = 141,724,155,079.72
  5. Step 5: Solve for x
    x = 141,724,155,079.72/268,552.13
  6. Step 6: Final answer
    x = 527,734.25

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.