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Finding the Third Proportional to 386,334 and 598,909.50

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Solution

The third proportional to 386,334 and 598,909.50 is: 928,452.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,334 : 598,909.50 = 598,909.50 : x
  2. Step 2: Convert to fraction form
    386,334/598,909.50 = 598,909.50/x
  3. Step 3: Cross multiply
    386,334x = 598,909.50 × 598,909.50
  4. Step 4: Simplify right side
    386,334x = 358,692,589,190.25
  5. Step 5: Solve for x
    x = 358,692,589,190.25/386,334
  6. Step 6: Final answer
    x = 928,452.04

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Why These Related Problems?

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