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Finding the Third Proportional to 379,986 and 592,984

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Solution

The third proportional to 379,986 and 592,984 is: 925,376.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,986 : 592,984 = 592,984 : x
  2. Step 2: Convert to fraction form
    379,986/592,984 = 592,984/x
  3. Step 3: Cross multiply
    379,986x = 592,984 × 592,984
  4. Step 4: Simplify right side
    379,986x = 351,630,024,256
  5. Step 5: Solve for x
    x = 351,630,024,256/379,986
  6. Step 6: Final answer
    x = 925,376.26

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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.