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Finding the Third Proportional to 278,150 and 610,426

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Solution

The third proportional to 278,150 and 610,426 is: 1,339,636.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,150 : 610,426 = 610,426 : x
  2. Step 2: Convert to fraction form
    278,150/610,426 = 610,426/x
  3. Step 3: Cross multiply
    278,150x = 610,426 × 610,426
  4. Step 4: Simplify right side
    278,150x = 372,619,901,476
  5. Step 5: Solve for x
    x = 372,619,901,476/278,150
  6. Step 6: Final answer
    x = 1,339,636.53

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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.