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Finding the Third Proportional to 319,040 and 700,974

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Solution

The third proportional to 319,040 and 700,974 is: 1,540,134.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,040 : 700,974 = 700,974 : x
  2. Step 2: Convert to fraction form
    319,040/700,974 = 700,974/x
  3. Step 3: Cross multiply
    319,040x = 700,974 × 700,974
  4. Step 4: Simplify right side
    319,040x = 491,364,548,676
  5. Step 5: Solve for x
    x = 491,364,548,676/319,040
  6. Step 6: Final answer
    x = 1,540,134.62

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.