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Finding the Third Proportional to 553,449 and 835,254

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Solution

The third proportional to 553,449 and 835,254 is: 1,260,548.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,449 : 835,254 = 835,254 : x
  2. Step 2: Convert to fraction form
    553,449/835,254 = 835,254/x
  3. Step 3: Cross multiply
    553,449x = 835,254 × 835,254
  4. Step 4: Simplify right side
    553,449x = 697,649,244,516
  5. Step 5: Solve for x
    x = 697,649,244,516/553,449
  6. Step 6: Final answer
    x = 1,260,548.39

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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.