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Finding the Third Proportional to 187,263 and 409,559

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Solution

The third proportional to 187,263 and 409,559 is: 895,737.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,263 : 409,559 = 409,559 : x
  2. Step 2: Convert to fraction form
    187,263/409,559 = 409,559/x
  3. Step 3: Cross multiply
    187,263x = 409,559 × 409,559
  4. Step 4: Simplify right side
    187,263x = 167,738,574,481
  5. Step 5: Solve for x
    x = 167,738,574,481/187,263
  6. Step 6: Final answer
    x = 895,737.94

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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.