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Finding the Third Proportional to 457,715 and 957,257

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Solution

The third proportional to 457,715 and 957,257 is: 2,001,990.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,715 : 957,257 = 957,257 : x
  2. Step 2: Convert to fraction form
    457,715/957,257 = 957,257/x
  3. Step 3: Cross multiply
    457,715x = 957,257 × 957,257
  4. Step 4: Simplify right side
    457,715x = 916,340,964,049
  5. Step 5: Solve for x
    x = 916,340,964,049/457,715
  6. Step 6: Final answer
    x = 2,001,990.24

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.