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Finding the Third Proportional to 269,914.50 and 573,036.75

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Solution

The third proportional to 269,914.50 and 573,036.75 is: 1,216,574.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,914.50 : 573,036.75 = 573,036.75 : x
  2. Step 2: Convert to fraction form
    269,914.50/573,036.75 = 573,036.75/x
  3. Step 3: Cross multiply
    269,914.50x = 573,036.75 × 573,036.75
  4. Step 4: Simplify right side
    269,914.50x = 328,371,116,850.56
  5. Step 5: Solve for x
    x = 328,371,116,850.56/269,914.50
  6. Step 6: Final answer
    x = 1,216,574.57

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.