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Finding the Third Proportional to 229,633 and 486,586

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Solution

The third proportional to 229,633 and 486,586 is: 1,031,062.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,633 : 486,586 = 486,586 : x
  2. Step 2: Convert to fraction form
    229,633/486,586 = 486,586/x
  3. Step 3: Cross multiply
    229,633x = 486,586 × 486,586
  4. Step 4: Simplify right side
    229,633x = 236,765,935,396
  5. Step 5: Solve for x
    x = 236,765,935,396/229,633
  6. Step 6: Final answer
    x = 1,031,062.33

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.