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Finding the Third Proportional to 278,388 and 606,960

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Solution

The third proportional to 278,388 and 606,960 is: 1,323,334.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,388 : 606,960 = 606,960 : x
  2. Step 2: Convert to fraction form
    278,388/606,960 = 606,960/x
  3. Step 3: Cross multiply
    278,388x = 606,960 × 606,960
  4. Step 4: Simplify right side
    278,388x = 368,400,441,600
  5. Step 5: Solve for x
    x = 368,400,441,600/278,388
  6. Step 6: Final answer
    x = 1,323,334.49

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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.