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Finding the Third Proportional to 280,822 and 605,928

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Solution

The third proportional to 280,822 and 605,928 is: 1,307,407.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,822 : 605,928 = 605,928 : x
  2. Step 2: Convert to fraction form
    280,822/605,928 = 605,928/x
  3. Step 3: Cross multiply
    280,822x = 605,928 × 605,928
  4. Step 4: Simplify right side
    280,822x = 367,148,741,184
  5. Step 5: Solve for x
    x = 367,148,741,184/280,822
  6. Step 6: Final answer
    x = 1,307,407.33

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.