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Finding the Third Proportional to 662,240.25 and 1,019,193.75

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Solution

The third proportional to 662,240.25 and 1,019,193.75 is: 1,568,548.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    662,240.25 : 1,019,193.75 = 1,019,193.75 : x
  2. Step 2: Convert to fraction form
    662,240.25/1,019,193.75 = 1,019,193.75/x
  3. Step 3: Cross multiply
    662,240.25x = 1,019,193.75 × 1,019,193.75
  4. Step 4: Simplify right side
    662,240.25x = 1,038,755,900,039.06
  5. Step 5: Solve for x
    x = 1,038,755,900,039.06/662,240.25
  6. Step 6: Final answer
    x = 1,568,548.42

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.