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Finding the Third Proportional to 379,971 and 592,960

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Solution

The third proportional to 379,971 and 592,960 is: 925,337.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,971 : 592,960 = 592,960 : x
  2. Step 2: Convert to fraction form
    379,971/592,960 = 592,960/x
  3. Step 3: Cross multiply
    379,971x = 592,960 × 592,960
  4. Step 4: Simplify right side
    379,971x = 351,601,561,600
  5. Step 5: Solve for x
    x = 351,601,561,600/379,971
  6. Step 6: Final answer
    x = 925,337.89

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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.