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Finding the Third Proportional to 276,304 and 604,432

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Solution

The third proportional to 276,304 and 604,432 is: 1,322,232.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,304 : 604,432 = 604,432 : x
  2. Step 2: Convert to fraction form
    276,304/604,432 = 604,432/x
  3. Step 3: Cross multiply
    276,304x = 604,432 × 604,432
  4. Step 4: Simplify right side
    276,304x = 365,338,042,624
  5. Step 5: Solve for x
    x = 365,338,042,624/276,304
  6. Step 6: Final answer
    x = 1,322,232.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.