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Finding the Third Proportional to 280,401.75 and 616,878

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Solution

The third proportional to 280,401.75 and 616,878 is: 1,357,118.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,401.75 : 616,878 = 616,878 : x
  2. Step 2: Convert to fraction form
    280,401.75/616,878 = 616,878/x
  3. Step 3: Cross multiply
    280,401.75x = 616,878 × 616,878
  4. Step 4: Simplify right side
    280,401.75x = 380,538,466,884
  5. Step 5: Solve for x
    x = 380,538,466,884/280,401.75
  6. Step 6: Final answer
    x = 1,357,118.73

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.