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Finding the Third Proportional to 372,164 and 775,816

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Solution

The third proportional to 372,164 and 775,816 is: 1,617,272.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,164 : 775,816 = 775,816 : x
  2. Step 2: Convert to fraction form
    372,164/775,816 = 775,816/x
  3. Step 3: Cross multiply
    372,164x = 775,816 × 775,816
  4. Step 4: Simplify right side
    372,164x = 601,890,465,856
  5. Step 5: Solve for x
    x = 601,890,465,856/372,164
  6. Step 6: Final answer
    x = 1,617,272.13

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.