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Finding the Third Proportional to 229,623 and 486,566

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Solution

The third proportional to 229,623 and 486,566 is: 1,031,022.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,623 : 486,566 = 486,566 : x
  2. Step 2: Convert to fraction form
    229,623/486,566 = 486,566/x
  3. Step 3: Cross multiply
    229,623x = 486,566 × 486,566
  4. Step 4: Simplify right side
    229,623x = 236,746,472,356
  5. Step 5: Solve for x
    x = 236,746,472,356/229,623
  6. Step 6: Final answer
    x = 1,031,022.47

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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.