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Finding the Third Proportional to 698,229 and 996,630.75

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Solution

The third proportional to 698,229 and 996,630.75 is: 1,422,560.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,229 : 996,630.75 = 996,630.75 : x
  2. Step 2: Convert to fraction form
    698,229/996,630.75 = 996,630.75/x
  3. Step 3: Cross multiply
    698,229x = 996,630.75 × 996,630.75
  4. Step 4: Simplify right side
    698,229x = 993,272,851,845.56
  5. Step 5: Solve for x
    x = 993,272,851,845.56/698,229
  6. Step 6: Final answer
    x = 1,422,560.29

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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.