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Finding the Third Proportional to 457,712 and 957,250

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Solution

The third proportional to 457,712 and 957,250 is: 2,001,974.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,712 : 957,250 = 957,250 : x
  2. Step 2: Convert to fraction form
    457,712/957,250 = 957,250/x
  3. Step 3: Cross multiply
    457,712x = 957,250 × 957,250
  4. Step 4: Simplify right side
    457,712x = 916,327,562,500
  5. Step 5: Solve for x
    x = 916,327,562,500/457,712
  6. Step 6: Final answer
    x = 2,001,974.09

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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.