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Finding the Third Proportional to 338,638.50 and 740,241

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Solution

The third proportional to 338,638.50 and 740,241 is: 1,618,117.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,638.50 : 740,241 = 740,241 : x
  2. Step 2: Convert to fraction form
    338,638.50/740,241 = 740,241/x
  3. Step 3: Cross multiply
    338,638.50x = 740,241 × 740,241
  4. Step 4: Simplify right side
    338,638.50x = 547,956,738,081
  5. Step 5: Solve for x
    x = 547,956,738,081/338,638.50
  6. Step 6: Final answer
    x = 1,618,117.07

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.