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Finding the Third Proportional to 254,829 and 553,884

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Solution

The third proportional to 254,829 and 553,884 is: 1,203,895.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,829 : 553,884 = 553,884 : x
  2. Step 2: Convert to fraction form
    254,829/553,884 = 553,884/x
  3. Step 3: Cross multiply
    254,829x = 553,884 × 553,884
  4. Step 4: Simplify right side
    254,829x = 306,787,485,456
  5. Step 5: Solve for x
    x = 306,787,485,456/254,829
  6. Step 6: Final answer
    x = 1,203,895.50

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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.