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Finding the Third Proportional to 283,587.75 and 439,323.75

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Solution

The third proportional to 283,587.75 and 439,323.75 is: 680,584.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,587.75 : 439,323.75 = 439,323.75 : x
  2. Step 2: Convert to fraction form
    283,587.75/439,323.75 = 439,323.75/x
  3. Step 3: Cross multiply
    283,587.75x = 439,323.75 × 439,323.75
  4. Step 4: Simplify right side
    283,587.75x = 193,005,357,314.06
  5. Step 5: Solve for x
    x = 193,005,357,314.06/283,587.75
  6. Step 6: Final answer
    x = 680,584.25

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.