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Finding the Third Proportional to 379,986 and 592,983

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Solution

The third proportional to 379,986 and 592,983 is: 925,373.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,986 : 592,983 = 592,983 : x
  2. Step 2: Convert to fraction form
    379,986/592,983 = 592,983/x
  3. Step 3: Cross multiply
    379,986x = 592,983 × 592,983
  4. Step 4: Simplify right side
    379,986x = 351,628,838,289
  5. Step 5: Solve for x
    x = 351,628,838,289/379,986
  6. Step 6: Final answer
    x = 925,373.14

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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.