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Finding the Third Proportional to 803,758.50 and 1,107,213.75

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Solution

The third proportional to 803,758.50 and 1,107,213.75 is: 1,525,237.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    803,758.50 : 1,107,213.75 = 1,107,213.75 : x
  2. Step 2: Convert to fraction form
    803,758.50/1,107,213.75 = 1,107,213.75/x
  3. Step 3: Cross multiply
    803,758.50x = 1,107,213.75 × 1,107,213.75
  4. Step 4: Simplify right side
    803,758.50x = 1,225,922,288,189.06
  5. Step 5: Solve for x
    x = 1,225,922,288,189.06/803,758.50
  6. Step 6: Final answer
    x = 1,525,237.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.