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Finding the Third Proportional to 419,182 and 592,565

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Solution

The third proportional to 419,182 and 592,565 is: 837,663.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,182 : 592,565 = 592,565 : x
  2. Step 2: Convert to fraction form
    419,182/592,565 = 592,565/x
  3. Step 3: Cross multiply
    419,182x = 592,565 × 592,565
  4. Step 4: Simplify right side
    419,182x = 351,133,279,225
  5. Step 5: Solve for x
    x = 351,133,279,225/419,182
  6. Step 6: Final answer
    x = 837,663.07

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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.