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Finding the Third Proportional to 379,960 and 592,944

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Solution

The third proportional to 379,960 and 592,944 is: 925,314.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,960 : 592,944 = 592,944 : x
  2. Step 2: Convert to fraction form
    379,960/592,944 = 592,944/x
  3. Step 3: Cross multiply
    379,960x = 592,944 × 592,944
  4. Step 4: Simplify right side
    379,960x = 351,582,587,136
  5. Step 5: Solve for x
    x = 351,582,587,136/379,960
  6. Step 6: Final answer
    x = 925,314.74

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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.