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Finding the Third Proportional to 419,263 and 592,687

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Solution

The third proportional to 419,263 and 592,687 is: 837,846.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,263 : 592,687 = 592,687 : x
  2. Step 2: Convert to fraction form
    419,263/592,687 = 592,687/x
  3. Step 3: Cross multiply
    419,263x = 592,687 × 592,687
  4. Step 4: Simplify right side
    419,263x = 351,277,879,969
  5. Step 5: Solve for x
    x = 351,277,879,969/419,263
  6. Step 6: Final answer
    x = 837,846.13

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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.