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Finding the Third Proportional to 553,195 and 834,880

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Solution

The third proportional to 553,195 and 834,880 is: 1,259,998.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,195 : 834,880 = 834,880 : x
  2. Step 2: Convert to fraction form
    553,195/834,880 = 834,880/x
  3. Step 3: Cross multiply
    553,195x = 834,880 × 834,880
  4. Step 4: Simplify right side
    553,195x = 697,024,614,400
  5. Step 5: Solve for x
    x = 697,024,614,400/553,195
  6. Step 6: Final answer
    x = 1,259,998.04

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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.