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Finding the Third Proportional to 187,282 and 409,598

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Solution

The third proportional to 187,282 and 409,598 is: 895,817.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,282 : 409,598 = 409,598 : x
  2. Step 2: Convert to fraction form
    187,282/409,598 = 409,598/x
  3. Step 3: Cross multiply
    187,282x = 409,598 × 409,598
  4. Step 4: Simplify right side
    187,282x = 167,770,521,604
  5. Step 5: Solve for x
    x = 167,770,521,604/187,282
  6. Step 6: Final answer
    x = 895,817.65

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.