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Finding the Third Proportional to 319,568 and 696,334

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Solution

The third proportional to 319,568 and 696,334 is: 1,517,301.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,568 : 696,334 = 696,334 : x
  2. Step 2: Convert to fraction form
    319,568/696,334 = 696,334/x
  3. Step 3: Cross multiply
    319,568x = 696,334 × 696,334
  4. Step 4: Simplify right side
    319,568x = 484,881,039,556
  5. Step 5: Solve for x
    x = 484,881,039,556/319,568
  6. Step 6: Final answer
    x = 1,517,301.61

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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.