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Finding the Third Proportional to 483,785.50 and 725,860.50

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Solution

The third proportional to 483,785.50 and 725,860.50 is: 1,089,064.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,785.50 : 725,860.50 = 725,860.50 : x
  2. Step 2: Convert to fraction form
    483,785.50/725,860.50 = 725,860.50/x
  3. Step 3: Cross multiply
    483,785.50x = 725,860.50 × 725,860.50
  4. Step 4: Simplify right side
    483,785.50x = 526,873,465,460.25
  5. Step 5: Solve for x
    x = 526,873,465,460.25/483,785.50
  6. Step 6: Final answer
    x = 1,089,064.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.