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Finding the Third Proportional to 427,920.75 and 598,230

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Solution

The third proportional to 427,920.75 and 598,230 is: 836,321.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,920.75 : 598,230 = 598,230 : x
  2. Step 2: Convert to fraction form
    427,920.75/598,230 = 598,230/x
  3. Step 3: Cross multiply
    427,920.75x = 598,230 × 598,230
  4. Step 4: Simplify right side
    427,920.75x = 357,879,132,900
  5. Step 5: Solve for x
    x = 357,879,132,900/427,920.75
  6. Step 6: Final answer
    x = 836,321.05

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.