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Finding the Third Proportional to 698,755 and 1,108,228.50

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Solution

The third proportional to 698,755 and 1,108,228.50 is: 1,757,655.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,755 : 1,108,228.50 = 1,108,228.50 : x
  2. Step 2: Convert to fraction form
    698,755/1,108,228.50 = 1,108,228.50/x
  3. Step 3: Cross multiply
    698,755x = 1,108,228.50 × 1,108,228.50
  4. Step 4: Simplify right side
    698,755x = 1,228,170,408,212.25
  5. Step 5: Solve for x
    x = 1,228,170,408,212.25/698,755
  6. Step 6: Final answer
    x = 1,757,655.27

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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.