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Finding the Third Proportional to 262,058 and 558,432

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Solution

The third proportional to 262,058 and 558,432 is: 1,189,989.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,058 : 558,432 = 558,432 : x
  2. Step 2: Convert to fraction form
    262,058/558,432 = 558,432/x
  3. Step 3: Cross multiply
    262,058x = 558,432 × 558,432
  4. Step 4: Simplify right side
    262,058x = 311,846,298,624
  5. Step 5: Solve for x
    x = 311,846,298,624/262,058
  6. Step 6: Final answer
    x = 1,189,989.62

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.