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Finding the Third Proportional to 278,076 and 607,144

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Solution

The third proportional to 278,076 and 607,144 is: 1,325,622.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,076 : 607,144 = 607,144 : x
  2. Step 2: Convert to fraction form
    278,076/607,144 = 607,144/x
  3. Step 3: Cross multiply
    278,076x = 607,144 × 607,144
  4. Step 4: Simplify right side
    278,076x = 368,623,836,736
  5. Step 5: Solve for x
    x = 368,623,836,736/278,076
  6. Step 6: Final answer
    x = 1,325,622.62

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.