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Finding the Third Proportional to 952,141.50 and 1,475,232.75

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Solution

The third proportional to 952,141.50 and 1,475,232.75 is: 2,285,701.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    952,141.50 : 1,475,232.75 = 1,475,232.75 : x
  2. Step 2: Convert to fraction form
    952,141.50/1,475,232.75 = 1,475,232.75/x
  3. Step 3: Cross multiply
    952,141.50x = 1,475,232.75 × 1,475,232.75
  4. Step 4: Simplify right side
    952,141.50x = 2,176,311,666,672.56
  5. Step 5: Solve for x
    x = 2,176,311,666,672.56/952,141.50
  6. Step 6: Final answer
    x = 2,285,701.93

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.