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Finding the Third Proportional to 492,707 and 741,257

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Solution

The third proportional to 492,707 and 741,257 is: 1,115,190.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,707 : 741,257 = 741,257 : x
  2. Step 2: Convert to fraction form
    492,707/741,257 = 741,257/x
  3. Step 3: Cross multiply
    492,707x = 741,257 × 741,257
  4. Step 4: Simplify right side
    492,707x = 549,461,940,049
  5. Step 5: Solve for x
    x = 549,461,940,049/492,707
  6. Step 6: Final answer
    x = 1,115,190.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.