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Finding the Third Proportional to 338,103 and 790,204.50

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Solution

The third proportional to 338,103 and 790,204.50 is: 1,846,842.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,103 : 790,204.50 = 790,204.50 : x
  2. Step 2: Convert to fraction form
    338,103/790,204.50 = 790,204.50/x
  3. Step 3: Cross multiply
    338,103x = 790,204.50 × 790,204.50
  4. Step 4: Simplify right side
    338,103x = 624,423,151,820.25
  5. Step 5: Solve for x
    x = 624,423,151,820.25/338,103
  6. Step 6: Final answer
    x = 1,846,842.98

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.