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Finding the Third Proportional to 276,351 and 594,984

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Solution

The third proportional to 276,351 and 594,984 is: 1,281,001.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,351 : 594,984 = 594,984 : x
  2. Step 2: Convert to fraction form
    276,351/594,984 = 594,984/x
  3. Step 3: Cross multiply
    276,351x = 594,984 × 594,984
  4. Step 4: Simplify right side
    276,351x = 354,005,960,256
  5. Step 5: Solve for x
    x = 354,005,960,256/276,351
  6. Step 6: Final answer
    x = 1,281,001.19

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.