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Finding the Third Proportional to 187,570 and 409,581

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Solution

The third proportional to 187,570 and 409,581 is: 894,367.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,570 : 409,581 = 409,581 : x
  2. Step 2: Convert to fraction form
    187,570/409,581 = 409,581/x
  3. Step 3: Cross multiply
    187,570x = 409,581 × 409,581
  4. Step 4: Simplify right side
    187,570x = 167,756,595,561
  5. Step 5: Solve for x
    x = 167,756,595,561/187,570
  6. Step 6: Final answer
    x = 894,367.95

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.