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Finding the Third Proportional to 379,962 and 592,947

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Solution

The third proportional to 379,962 and 592,947 is: 925,319.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,962 : 592,947 = 592,947 : x
  2. Step 2: Convert to fraction form
    379,962/592,947 = 592,947/x
  3. Step 3: Cross multiply
    379,962x = 592,947 × 592,947
  4. Step 4: Simplify right side
    379,962x = 351,586,144,809
  5. Step 5: Solve for x
    x = 351,586,144,809/379,962
  6. Step 6: Final answer
    x = 925,319.23

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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.