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Finding the Third Proportional to 229,710 and 486,696

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Solution

The third proportional to 229,710 and 486,696 is: 1,031,182.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,710 : 486,696 = 486,696 : x
  2. Step 2: Convert to fraction form
    229,710/486,696 = 486,696/x
  3. Step 3: Cross multiply
    229,710x = 486,696 × 486,696
  4. Step 4: Simplify right side
    229,710x = 236,872,996,416
  5. Step 5: Solve for x
    x = 236,872,996,416/229,710
  6. Step 6: Final answer
    x = 1,031,182.78

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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.