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Finding the Third Proportional to 187,578 and 410,364

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Solution

The third proportional to 187,578 and 410,364 is: 897,752.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,578 : 410,364 = 410,364 : x
  2. Step 2: Convert to fraction form
    187,578/410,364 = 410,364/x
  3. Step 3: Cross multiply
    187,578x = 410,364 × 410,364
  4. Step 4: Simplify right side
    187,578x = 168,398,612,496
  5. Step 5: Solve for x
    x = 168,398,612,496/187,578
  6. Step 6: Final answer
    x = 897,752.47

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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.