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Finding the Third Proportional to 419,240 and 592,644

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Solution

The third proportional to 419,240 and 592,644 is: 837,770.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,240 : 592,644 = 592,644 : x
  2. Step 2: Convert to fraction form
    419,240/592,644 = 592,644/x
  3. Step 3: Cross multiply
    419,240x = 592,644 × 592,644
  4. Step 4: Simplify right side
    419,240x = 351,226,910,736
  5. Step 5: Solve for x
    x = 351,226,910,736/419,240
  6. Step 6: Final answer
    x = 837,770.52

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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.