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Finding the Third Proportional to 351,924 and 767,356

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Solution

The third proportional to 351,924 and 767,356 is: 1,673,188.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,924 : 767,356 = 767,356 : x
  2. Step 2: Convert to fraction form
    351,924/767,356 = 767,356/x
  3. Step 3: Cross multiply
    351,924x = 767,356 × 767,356
  4. Step 4: Simplify right side
    351,924x = 588,835,230,736
  5. Step 5: Solve for x
    x = 588,835,230,736/351,924
  6. Step 6: Final answer
    x = 1,673,188.62

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.