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Finding the Third Proportional to 276,932 and 596,304

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Solution

The third proportional to 276,932 and 596,304 is: 1,283,991.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,932 : 596,304 = 596,304 : x
  2. Step 2: Convert to fraction form
    276,932/596,304 = 596,304/x
  3. Step 3: Cross multiply
    276,932x = 596,304 × 596,304
  4. Step 4: Simplify right side
    276,932x = 355,578,460,416
  5. Step 5: Solve for x
    x = 355,578,460,416/276,932
  6. Step 6: Final answer
    x = 1,283,991.96

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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.