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Finding the Third Proportional to 419,234.06 and 592,643.25

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Solution

The third proportional to 419,234.06 and 592,643.25 is: 837,780.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,234.06 : 592,643.25 = 592,643.25 : x
  2. Step 2: Convert to fraction form
    419,234.06/592,643.25 = 592,643.25/x
  3. Step 3: Cross multiply
    419,234.06x = 592,643.25 × 592,643.25
  4. Step 4: Simplify right side
    419,234.06x = 351,226,021,770.56
  5. Step 5: Solve for x
    x = 351,226,021,770.56/419,234.06
  6. Step 6: Final answer
    x = 837,780.26

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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.