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Finding the Third Proportional to 358,273 and 541,441.50

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Solution

The third proportional to 358,273 and 541,441.50 is: 818,255.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,273 : 541,441.50 = 541,441.50 : x
  2. Step 2: Convert to fraction form
    358,273/541,441.50 = 541,441.50/x
  3. Step 3: Cross multiply
    358,273x = 541,441.50 × 541,441.50
  4. Step 4: Simplify right side
    358,273x = 293,158,897,922.25
  5. Step 5: Solve for x
    x = 293,158,897,922.25/358,273
  6. Step 6: Final answer
    x = 818,255.63

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.