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Finding the Third Proportional to 276,446 and 602,914

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Solution

The third proportional to 276,446 and 602,914 is: 1,314,923.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,446 : 602,914 = 602,914 : x
  2. Step 2: Convert to fraction form
    276,446/602,914 = 602,914/x
  3. Step 3: Cross multiply
    276,446x = 602,914 × 602,914
  4. Step 4: Simplify right side
    276,446x = 363,505,291,396
  5. Step 5: Solve for x
    x = 363,505,291,396/276,446
  6. Step 6: Final answer
    x = 1,314,923.32

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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.