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Finding the Third Proportional to 319,902 and 700,068

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Solution

The third proportional to 319,902 and 700,068 is: 1,532,016.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,902 : 700,068 = 700,068 : x
  2. Step 2: Convert to fraction form
    319,902/700,068 = 700,068/x
  3. Step 3: Cross multiply
    319,902x = 700,068 × 700,068
  4. Step 4: Simplify right side
    319,902x = 490,095,204,624
  5. Step 5: Solve for x
    x = 490,095,204,624/319,902
  6. Step 6: Final answer
    x = 1,532,016.69

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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.