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Finding the Third Proportional to 362,331 and 796,374

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Solution

The third proportional to 362,331 and 796,374 is: 1,750,365.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,331 : 796,374 = 796,374 : x
  2. Step 2: Convert to fraction form
    362,331/796,374 = 796,374/x
  3. Step 3: Cross multiply
    362,331x = 796,374 × 796,374
  4. Step 4: Simplify right side
    362,331x = 634,211,547,876
  5. Step 5: Solve for x
    x = 634,211,547,876/362,331
  6. Step 6: Final answer
    x = 1,750,365.13

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.