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Finding the Third Proportional to 379,975 and 592,967

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Solution

The third proportional to 379,975 and 592,967 is: 925,349.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,975 : 592,967 = 592,967 : x
  2. Step 2: Convert to fraction form
    379,975/592,967 = 592,967/x
  3. Step 3: Cross multiply
    379,975x = 592,967 × 592,967
  4. Step 4: Simplify right side
    379,975x = 351,609,863,089
  5. Step 5: Solve for x
    x = 351,609,863,089/379,975
  6. Step 6: Final answer
    x = 925,349.99

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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.