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Finding the Third Proportional to 269,100.98 and 433,587.94

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Solution

The third proportional to 269,100.98 and 433,587.94 is: 698,616.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,100.98 : 433,587.94 = 433,587.94 : x
  2. Step 2: Convert to fraction form
    269,100.98/433,587.94 = 433,587.94/x
  3. Step 3: Cross multiply
    269,100.98x = 433,587.94 × 433,587.94
  4. Step 4: Simplify right side
    269,100.98x = 187,998,499,545.50
  5. Step 5: Solve for x
    x = 187,998,499,545.50/269,100.98
  6. Step 6: Final answer
    x = 698,616.92

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.