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Finding the Third Proportional to 243,695 and 376,606

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Solution

The third proportional to 243,695 and 376,606 is: 582,006.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,695 : 376,606 = 376,606 : x
  2. Step 2: Convert to fraction form
    243,695/376,606 = 376,606/x
  3. Step 3: Cross multiply
    243,695x = 376,606 × 376,606
  4. Step 4: Simplify right side
    243,695x = 141,832,079,236
  5. Step 5: Solve for x
    x = 141,832,079,236/243,695
  6. Step 6: Final answer
    x = 582,006.52

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.