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Finding the Third Proportional to 187,582 and 409,600

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Solution

The third proportional to 187,582 and 409,600 is: 894,393.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,582 : 409,600 = 409,600 : x
  2. Step 2: Convert to fraction form
    187,582/409,600 = 409,600/x
  3. Step 3: Cross multiply
    187,582x = 409,600 × 409,600
  4. Step 4: Simplify right side
    187,582x = 167,772,160,000
  5. Step 5: Solve for x
    x = 167,772,160,000/187,582
  6. Step 6: Final answer
    x = 894,393.71

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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.