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Finding the Third Proportional to 698,226.75 and 996,627.38

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Solution

The third proportional to 698,226.75 and 996,627.38 is: 1,422,555.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,226.75 : 996,627.38 = 996,627.38 : x
  2. Step 2: Convert to fraction form
    698,226.75/996,627.38 = 996,627.38/x
  3. Step 3: Cross multiply
    698,226.75x = 996,627.38 × 996,627.38
  4. Step 4: Simplify right side
    698,226.75x = 993,266,124,599.39
  5. Step 5: Solve for x
    x = 993,266,124,599.39/698,226.75
  6. Step 6: Final answer
    x = 1,422,555.24

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.