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Finding the Third Proportional to 338,580.38 and 757,368.75

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Solution

The third proportional to 338,580.38 and 757,368.75 is: 1,694,154.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,580.38 : 757,368.75 = 757,368.75 : x
  2. Step 2: Convert to fraction form
    338,580.38/757,368.75 = 757,368.75/x
  3. Step 3: Cross multiply
    338,580.38x = 757,368.75 × 757,368.75
  4. Step 4: Simplify right side
    338,580.38x = 573,607,423,476.56
  5. Step 5: Solve for x
    x = 573,607,423,476.56/338,580.38
  6. Step 6: Final answer
    x = 1,694,154.37

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These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.