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Finding the Third Proportional to 254,826 and 553,878

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Solution

The third proportional to 254,826 and 553,878 is: 1,203,883.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,826 : 553,878 = 553,878 : x
  2. Step 2: Convert to fraction form
    254,826/553,878 = 553,878/x
  3. Step 3: Cross multiply
    254,826x = 553,878 × 553,878
  4. Step 4: Simplify right side
    254,826x = 306,780,838,884
  5. Step 5: Solve for x
    x = 306,780,838,884/254,826
  6. Step 6: Final answer
    x = 1,203,883.59

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.