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Finding the Third Proportional to 239,700 and 532,606

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Solution

The third proportional to 239,700 and 532,606 is: 1,183,434.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,700 : 532,606 = 532,606 : x
  2. Step 2: Convert to fraction form
    239,700/532,606 = 532,606/x
  3. Step 3: Cross multiply
    239,700x = 532,606 × 532,606
  4. Step 4: Simplify right side
    239,700x = 283,669,151,236
  5. Step 5: Solve for x
    x = 283,669,151,236/239,700
  6. Step 6: Final answer
    x = 1,183,434.09

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.