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Finding the Third Proportional to 280,701 and 613,899

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Solution

The third proportional to 280,701 and 613,899 is: 1,342,610.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,701 : 613,899 = 613,899 : x
  2. Step 2: Convert to fraction form
    280,701/613,899 = 613,899/x
  3. Step 3: Cross multiply
    280,701x = 613,899 × 613,899
  4. Step 4: Simplify right side
    280,701x = 376,871,982,201
  5. Step 5: Solve for x
    x = 376,871,982,201/280,701
  6. Step 6: Final answer
    x = 1,342,610.04

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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.