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Finding the Third Proportional to 276,664 and 604,304

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Solution

The third proportional to 276,664 and 604,304 is: 1,319,952.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,664 : 604,304 = 604,304 : x
  2. Step 2: Convert to fraction form
    276,664/604,304 = 604,304/x
  3. Step 3: Cross multiply
    276,664x = 604,304 × 604,304
  4. Step 4: Simplify right side
    276,664x = 365,183,324,416
  5. Step 5: Solve for x
    x = 365,183,324,416/276,664
  6. Step 6: Final answer
    x = 1,319,952.45

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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.