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Finding the Third Proportional to 385,228.50 and 598,824

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Solution

The third proportional to 385,228.50 and 598,824 is: 930,850.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,228.50 : 598,824 = 598,824 : x
  2. Step 2: Convert to fraction form
    385,228.50/598,824 = 598,824/x
  3. Step 3: Cross multiply
    385,228.50x = 598,824 × 598,824
  4. Step 4: Simplify right side
    385,228.50x = 358,590,182,976
  5. Step 5: Solve for x
    x = 358,590,182,976/385,228.50
  6. Step 6: Final answer
    x = 930,850.61

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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.