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Finding the Third Proportional to 419,191 and 592,578

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Solution

The third proportional to 419,191 and 592,578 is: 837,681.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,191 : 592,578 = 592,578 : x
  2. Step 2: Convert to fraction form
    419,191/592,578 = 592,578/x
  3. Step 3: Cross multiply
    419,191x = 592,578 × 592,578
  4. Step 4: Simplify right side
    419,191x = 351,148,686,084
  5. Step 5: Solve for x
    x = 351,148,686,084/419,191
  6. Step 6: Final answer
    x = 837,681.83

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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.