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Finding the Third Proportional to 278,370 and 606,420

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Solution

The third proportional to 278,370 and 606,420 is: 1,321,066.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,370 : 606,420 = 606,420 : x
  2. Step 2: Convert to fraction form
    278,370/606,420 = 606,420/x
  3. Step 3: Cross multiply
    278,370x = 606,420 × 606,420
  4. Step 4: Simplify right side
    278,370x = 367,745,216,400
  5. Step 5: Solve for x
    x = 367,745,216,400/278,370
  6. Step 6: Final answer
    x = 1,321,066.27

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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.