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Finding the Third Proportional to 348,423 and 490,671

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Solution

The third proportional to 348,423 and 490,671 is: 690,993.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,423 : 490,671 = 490,671 : x
  2. Step 2: Convert to fraction form
    348,423/490,671 = 490,671/x
  3. Step 3: Cross multiply
    348,423x = 490,671 × 490,671
  4. Step 4: Simplify right side
    348,423x = 240,758,030,241
  5. Step 5: Solve for x
    x = 240,758,030,241/348,423
  6. Step 6: Final answer
    x = 690,993.51

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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.