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Finding the Third Proportional to 416,264 and 982,316

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Solution

The third proportional to 416,264 and 982,316 is: 2,318,107.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,264 : 982,316 = 982,316 : x
  2. Step 2: Convert to fraction form
    416,264/982,316 = 982,316/x
  3. Step 3: Cross multiply
    416,264x = 982,316 × 982,316
  4. Step 4: Simplify right side
    416,264x = 964,944,723,856
  5. Step 5: Solve for x
    x = 964,944,723,856/416,264
  6. Step 6: Final answer
    x = 2,318,107.56

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.