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Finding the Third Proportional to 262,082 and 392,712

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Solution

The third proportional to 262,082 and 392,712 is: 588,452.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,082 : 392,712 = 392,712 : x
  2. Step 2: Convert to fraction form
    262,082/392,712 = 392,712/x
  3. Step 3: Cross multiply
    262,082x = 392,712 × 392,712
  4. Step 4: Simplify right side
    262,082x = 154,222,714,944
  5. Step 5: Solve for x
    x = 154,222,714,944/262,082
  6. Step 6: Final answer
    x = 588,452.14

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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.