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Finding the Third Proportional to 348,344 and 521,160

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Solution

The third proportional to 348,344 and 521,160 is: 779,711.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,344 : 521,160 = 521,160 : x
  2. Step 2: Convert to fraction form
    348,344/521,160 = 521,160/x
  3. Step 3: Cross multiply
    348,344x = 521,160 × 521,160
  4. Step 4: Simplify right side
    348,344x = 271,607,745,600
  5. Step 5: Solve for x
    x = 271,607,745,600/348,344
  6. Step 6: Final answer
    x = 779,711.28

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Why These Related Problems?

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