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Finding the Third Proportional to 348,326 and 521,138

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Solution

The third proportional to 348,326 and 521,138 is: 779,685.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,326 : 521,138 = 521,138 : x
  2. Step 2: Convert to fraction form
    348,326/521,138 = 521,138/x
  3. Step 3: Cross multiply
    348,326x = 521,138 × 521,138
  4. Step 4: Simplify right side
    348,326x = 271,584,815,044
  5. Step 5: Solve for x
    x = 271,584,815,044/348,326
  6. Step 6: Final answer
    x = 779,685.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.