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Finding the Third Proportional to 379,972 and 592,962

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Solution

The third proportional to 379,972 and 592,962 is: 925,341.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,972 : 592,962 = 592,962 : x
  2. Step 2: Convert to fraction form
    379,972/592,962 = 592,962/x
  3. Step 3: Cross multiply
    379,972x = 592,962 × 592,962
  4. Step 4: Simplify right side
    379,972x = 351,603,933,444
  5. Step 5: Solve for x
    x = 351,603,933,444/379,972
  6. Step 6: Final answer
    x = 925,341.69

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.