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Finding the Third Proportional to 319,074 and 696,104

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Solution

The third proportional to 319,074 and 696,104 is: 1,518,647.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,074 : 696,104 = 696,104 : x
  2. Step 2: Convert to fraction form
    319,074/696,104 = 696,104/x
  3. Step 3: Cross multiply
    319,074x = 696,104 × 696,104
  4. Step 4: Simplify right side
    319,074x = 484,560,778,816
  5. Step 5: Solve for x
    x = 484,560,778,816/319,074
  6. Step 6: Final answer
    x = 1,518,647.02

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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.