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Finding the Third Proportional to 333,998 and 700,800

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Solution

The third proportional to 333,998 and 700,800 is: 1,470,429.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,998 : 700,800 = 700,800 : x
  2. Step 2: Convert to fraction form
    333,998/700,800 = 700,800/x
  3. Step 3: Cross multiply
    333,998x = 700,800 × 700,800
  4. Step 4: Simplify right side
    333,998x = 491,120,640,000
  5. Step 5: Solve for x
    x = 491,120,640,000/333,998
  6. Step 6: Final answer
    x = 1,470,429.88

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.