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Finding the Third Proportional to 372,336.75 and 803,712.38

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Solution

The third proportional to 372,336.75 and 803,712.38 is: 1,734,863.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,336.75 : 803,712.38 = 803,712.38 : x
  2. Step 2: Convert to fraction form
    372,336.75/803,712.38 = 803,712.38/x
  3. Step 3: Cross multiply
    372,336.75x = 803,712.38 × 803,712.38
  4. Step 4: Simplify right side
    372,336.75x = 645,953,581,728.14
  5. Step 5: Solve for x
    x = 645,953,581,728.14/372,336.75
  6. Step 6: Final answer
    x = 1,734,863.89

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.