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Finding the Third Proportional to 557,088 and 836,868

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Solution

The third proportional to 557,088 and 836,868 is: 1,257,158.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,088 : 836,868 = 836,868 : x
  2. Step 2: Convert to fraction form
    557,088/836,868 = 836,868/x
  3. Step 3: Cross multiply
    557,088x = 836,868 × 836,868
  4. Step 4: Simplify right side
    557,088x = 700,348,049,424
  5. Step 5: Solve for x
    x = 700,348,049,424/557,088
  6. Step 6: Final answer
    x = 1,257,158.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.