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Finding the Third Proportional to 269,113.50 and 566,109

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Solution

The third proportional to 269,113.50 and 566,109 is: 1,190,870.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,113.50 : 566,109 = 566,109 : x
  2. Step 2: Convert to fraction form
    269,113.50/566,109 = 566,109/x
  3. Step 3: Cross multiply
    269,113.50x = 566,109 × 566,109
  4. Step 4: Simplify right side
    269,113.50x = 320,479,399,881
  5. Step 5: Solve for x
    x = 320,479,399,881/269,113.50
  6. Step 6: Final answer
    x = 1,190,870.77

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.