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Finding the Third Proportional to 553,364 and 835,126

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Solution

The third proportional to 553,364 and 835,126 is: 1,260,355.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,364 : 835,126 = 835,126 : x
  2. Step 2: Convert to fraction form
    553,364/835,126 = 835,126/x
  3. Step 3: Cross multiply
    553,364x = 835,126 × 835,126
  4. Step 4: Simplify right side
    553,364x = 697,435,435,876
  5. Step 5: Solve for x
    x = 697,435,435,876/553,364
  6. Step 6: Final answer
    x = 1,260,355.64

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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.