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Finding the Third Proportional to 278,046 and 607,061.25

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Solution

The third proportional to 278,046 and 607,061.25 is: 1,325,404.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,046 : 607,061.25 = 607,061.25 : x
  2. Step 2: Convert to fraction form
    278,046/607,061.25 = 607,061.25/x
  3. Step 3: Cross multiply
    278,046x = 607,061.25 × 607,061.25
  4. Step 4: Simplify right side
    278,046x = 368,523,361,251.56
  5. Step 5: Solve for x
    x = 368,523,361,251.56/278,046
  6. Step 6: Final answer
    x = 1,325,404.29

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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.