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Finding the Third Proportional to 276,599 and 603,464

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Solution

The third proportional to 276,599 and 603,464 is: 1,316,594.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,599 : 603,464 = 603,464 : x
  2. Step 2: Convert to fraction form
    276,599/603,464 = 603,464/x
  3. Step 3: Cross multiply
    276,599x = 603,464 × 603,464
  4. Step 4: Simplify right side
    276,599x = 364,168,799,296
  5. Step 5: Solve for x
    x = 364,168,799,296/276,599
  6. Step 6: Final answer
    x = 1,316,594.78

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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.