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Finding the Third Proportional to 354,876 and 778,452

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Solution

The third proportional to 354,876 and 778,452 is: 1,707,603.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,876 : 778,452 = 778,452 : x
  2. Step 2: Convert to fraction form
    354,876/778,452 = 778,452/x
  3. Step 3: Cross multiply
    354,876x = 778,452 × 778,452
  4. Step 4: Simplify right side
    354,876x = 605,987,516,304
  5. Step 5: Solve for x
    x = 605,987,516,304/354,876
  6. Step 6: Final answer
    x = 1,707,603.55

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.