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Finding the Third Proportional to 416,952 and 983,292

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Solution

The third proportional to 416,952 and 983,292 is: 2,318,883.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,952 : 983,292 = 983,292 : x
  2. Step 2: Convert to fraction form
    416,952/983,292 = 983,292/x
  3. Step 3: Cross multiply
    416,952x = 983,292 × 983,292
  4. Step 4: Simplify right side
    416,952x = 966,863,157,264
  5. Step 5: Solve for x
    x = 966,863,157,264/416,952
  6. Step 6: Final answer
    x = 2,318,883.61

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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.