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Finding the Third Proportional to 348,369 and 490,584

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Solution

The third proportional to 348,369 and 490,584 is: 690,855.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,369 : 490,584 = 490,584 : x
  2. Step 2: Convert to fraction form
    348,369/490,584 = 490,584/x
  3. Step 3: Cross multiply
    348,369x = 490,584 × 490,584
  4. Step 4: Simplify right side
    348,369x = 240,672,661,056
  5. Step 5: Solve for x
    x = 240,672,661,056/348,369
  6. Step 6: Final answer
    x = 690,855.56

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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.