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Finding the Third Proportional to 254,834 and 553,972

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Solution

The third proportional to 254,834 and 553,972 is: 1,204,254.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,834 : 553,972 = 553,972 : x
  2. Step 2: Convert to fraction form
    254,834/553,972 = 553,972/x
  3. Step 3: Cross multiply
    254,834x = 553,972 × 553,972
  4. Step 4: Simplify right side
    254,834x = 306,884,976,784
  5. Step 5: Solve for x
    x = 306,884,976,784/254,834
  6. Step 6: Final answer
    x = 1,204,254.44

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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.