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Finding the Third Proportional to 526,816 and 836,880

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Solution

The third proportional to 526,816 and 836,880 is: 1,329,435.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,816 : 836,880 = 836,880 : x
  2. Step 2: Convert to fraction form
    526,816/836,880 = 836,880/x
  3. Step 3: Cross multiply
    526,816x = 836,880 × 836,880
  4. Step 4: Simplify right side
    526,816x = 700,368,134,400
  5. Step 5: Solve for x
    x = 700,368,134,400/526,816
  6. Step 6: Final answer
    x = 1,329,435.96

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.