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Finding the Third Proportional to 239,310 and 522,084

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Solution

The third proportional to 239,310 and 522,084 is: 1,138,990.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,310 : 522,084 = 522,084 : x
  2. Step 2: Convert to fraction form
    239,310/522,084 = 522,084/x
  3. Step 3: Cross multiply
    239,310x = 522,084 × 522,084
  4. Step 4: Simplify right side
    239,310x = 272,571,703,056
  5. Step 5: Solve for x
    x = 272,571,703,056/239,310
  6. Step 6: Final answer
    x = 1,138,990.03

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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.