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Finding the Third Proportional to 419,180 and 592,562

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Solution

The third proportional to 419,180 and 592,562 is: 837,658.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,180 : 592,562 = 592,562 : x
  2. Step 2: Convert to fraction form
    419,180/592,562 = 592,562/x
  3. Step 3: Cross multiply
    419,180x = 592,562 × 592,562
  4. Step 4: Simplify right side
    419,180x = 351,129,723,844
  5. Step 5: Solve for x
    x = 351,129,723,844/419,180
  6. Step 6: Final answer
    x = 837,658.58

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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.