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Finding the Third Proportional to 319,960 and 700,176

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Solution

The third proportional to 319,960 and 700,176 is: 1,532,211.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,960 : 700,176 = 700,176 : x
  2. Step 2: Convert to fraction form
    319,960/700,176 = 700,176/x
  3. Step 3: Cross multiply
    319,960x = 700,176 × 700,176
  4. Step 4: Simplify right side
    319,960x = 490,246,430,976
  5. Step 5: Solve for x
    x = 490,246,430,976/319,960
  6. Step 6: Final answer
    x = 1,532,211.62

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.