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Finding the Third Proportional to 269,202 and 566,304

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Solution

The third proportional to 269,202 and 566,304 is: 1,191,299.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,202 : 566,304 = 566,304 : x
  2. Step 2: Convert to fraction form
    269,202/566,304 = 566,304/x
  3. Step 3: Cross multiply
    269,202x = 566,304 × 566,304
  4. Step 4: Simplify right side
    269,202x = 320,700,220,416
  5. Step 5: Solve for x
    x = 320,700,220,416/269,202
  6. Step 6: Final answer
    x = 1,191,299.55

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.