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Finding the Third Proportional to 379,989 and 592,986

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Solution

The third proportional to 379,989 and 592,986 is: 925,375.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,989 : 592,986 = 592,986 : x
  2. Step 2: Convert to fraction form
    379,989/592,986 = 592,986/x
  3. Step 3: Cross multiply
    379,989x = 592,986 × 592,986
  4. Step 4: Simplify right side
    379,989x = 351,632,396,196
  5. Step 5: Solve for x
    x = 351,632,396,196/379,989
  6. Step 6: Final answer
    x = 925,375.20

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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.