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Finding the Third Proportional to 768,277.50 and 1,106,650.75

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Solution

The third proportional to 768,277.50 and 1,106,650.75 is: 1,594,054.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,277.50 : 1,106,650.75 = 1,106,650.75 : x
  2. Step 2: Convert to fraction form
    768,277.50/1,106,650.75 = 1,106,650.75/x
  3. Step 3: Cross multiply
    768,277.50x = 1,106,650.75 × 1,106,650.75
  4. Step 4: Simplify right side
    768,277.50x = 1,224,675,882,475.56
  5. Step 5: Solve for x
    x = 1,224,675,882,475.56/768,277.50
  6. Step 6: Final answer
    x = 1,594,054.08

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.