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Finding the Third Proportional to 417,300.75 and 655,323.75

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Solution

The third proportional to 417,300.75 and 655,323.75 is: 1,029,112.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,300.75 : 655,323.75 = 655,323.75 : x
  2. Step 2: Convert to fraction form
    417,300.75/655,323.75 = 655,323.75/x
  3. Step 3: Cross multiply
    417,300.75x = 655,323.75 × 655,323.75
  4. Step 4: Simplify right side
    417,300.75x = 429,449,217,314.06
  5. Step 5: Solve for x
    x = 429,449,217,314.06/417,300.75
  6. Step 6: Final answer
    x = 1,029,112.02

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.