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Finding the Third Proportional to 688,906.50 and 1,006,143.75

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Solution

The third proportional to 688,906.50 and 1,006,143.75 is: 1,469,466.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,906.50 : 1,006,143.75 = 1,006,143.75 : x
  2. Step 2: Convert to fraction form
    688,906.50/1,006,143.75 = 1,006,143.75/x
  3. Step 3: Cross multiply
    688,906.50x = 1,006,143.75 × 1,006,143.75
  4. Step 4: Simplify right side
    688,906.50x = 1,012,325,245,664.06
  5. Step 5: Solve for x
    x = 1,012,325,245,664.06/688,906.50
  6. Step 6: Final answer
    x = 1,469,466.82

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.