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Finding the Third Proportional to 348,448 and 521,308

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Solution

The third proportional to 348,448 and 521,308 is: 779,921.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,448 : 521,308 = 521,308 : x
  2. Step 2: Convert to fraction form
    348,448/521,308 = 521,308/x
  3. Step 3: Cross multiply
    348,448x = 521,308 × 521,308
  4. Step 4: Simplify right side
    348,448x = 271,762,030,864
  5. Step 5: Solve for x
    x = 271,762,030,864/348,448
  6. Step 6: Final answer
    x = 779,921.34

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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.