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Finding the Third Proportional to 749,629.50 and 1,159,475.25

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Solution

The third proportional to 749,629.50 and 1,159,475.25 is: 1,793,396.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    749,629.50 : 1,159,475.25 = 1,159,475.25 : x
  2. Step 2: Convert to fraction form
    749,629.50/1,159,475.25 = 1,159,475.25/x
  3. Step 3: Cross multiply
    749,629.50x = 1,159,475.25 × 1,159,475.25
  4. Step 4: Simplify right side
    749,629.50x = 1,344,382,855,362.56
  5. Step 5: Solve for x
    x = 1,344,382,855,362.56/749,629.50
  6. Step 6: Final answer
    x = 1,793,396.41

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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.