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Finding the Third Proportional to 278,571 and 601,476

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Solution

The third proportional to 278,571 and 601,476 is: 1,298,675.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,571 : 601,476 = 601,476 : x
  2. Step 2: Convert to fraction form
    278,571/601,476 = 601,476/x
  3. Step 3: Cross multiply
    278,571x = 601,476 × 601,476
  4. Step 4: Simplify right side
    278,571x = 361,773,378,576
  5. Step 5: Solve for x
    x = 361,773,378,576/278,571
  6. Step 6: Final answer
    x = 1,298,675.66

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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.