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Finding the Third Proportional to 348,376 and 490,592

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Solution

The third proportional to 348,376 and 490,592 is: 690,864.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,376 : 490,592 = 490,592 : x
  2. Step 2: Convert to fraction form
    348,376/490,592 = 490,592/x
  3. Step 3: Cross multiply
    348,376x = 490,592 × 490,592
  4. Step 4: Simplify right side
    348,376x = 240,680,510,464
  5. Step 5: Solve for x
    x = 240,680,510,464/348,376
  6. Step 6: Final answer
    x = 690,864.21

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.