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Finding the Third Proportional to 748,069.50 and 1,157,175.75

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Solution

The third proportional to 748,069.50 and 1,157,175.75 is: 1,790,015.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    748,069.50 : 1,157,175.75 = 1,157,175.75 : x
  2. Step 2: Convert to fraction form
    748,069.50/1,157,175.75 = 1,157,175.75/x
  3. Step 3: Cross multiply
    748,069.50x = 1,157,175.75 × 1,157,175.75
  4. Step 4: Simplify right side
    748,069.50x = 1,339,055,716,388.06
  5. Step 5: Solve for x
    x = 1,339,055,716,388.06/748,069.50
  6. Step 6: Final answer
    x = 1,790,015.12

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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.