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Finding the Third Proportional to 278,874 and 602,023.50

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Solution

The third proportional to 278,874 and 602,023.50 is: 1,299,627.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,874 : 602,023.50 = 602,023.50 : x
  2. Step 2: Convert to fraction form
    278,874/602,023.50 = 602,023.50/x
  3. Step 3: Cross multiply
    278,874x = 602,023.50 × 602,023.50
  4. Step 4: Simplify right side
    278,874x = 362,432,294,552.25
  5. Step 5: Solve for x
    x = 362,432,294,552.25/278,874
  6. Step 6: Final answer
    x = 1,299,627.41

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.