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Finding the Third Proportional to 553,446 and 835,251

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Solution

The third proportional to 553,446 and 835,251 is: 1,260,546.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,446 : 835,251 = 835,251 : x
  2. Step 2: Convert to fraction form
    553,446/835,251 = 835,251/x
  3. Step 3: Cross multiply
    553,446x = 835,251 × 835,251
  4. Step 4: Simplify right side
    553,446x = 697,644,233,001
  5. Step 5: Solve for x
    x = 697,644,233,001/553,446
  6. Step 6: Final answer
    x = 1,260,546.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.