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Finding the Third Proportional to 419,192 and 592,579

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Solution

The third proportional to 419,192 and 592,579 is: 837,682.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,192 : 592,579 = 592,579 : x
  2. Step 2: Convert to fraction form
    419,192/592,579 = 592,579/x
  3. Step 3: Cross multiply
    419,192x = 592,579 × 592,579
  4. Step 4: Simplify right side
    419,192x = 351,149,871,241
  5. Step 5: Solve for x
    x = 351,149,871,241/419,192
  6. Step 6: Final answer
    x = 837,682.66

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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.