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Finding the Third Proportional to 296,847 and 700,020

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Solution

The third proportional to 296,847 and 700,020 is: 1,650,776.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,847 : 700,020 = 700,020 : x
  2. Step 2: Convert to fraction form
    296,847/700,020 = 700,020/x
  3. Step 3: Cross multiply
    296,847x = 700,020 × 700,020
  4. Step 4: Simplify right side
    296,847x = 490,028,000,400
  5. Step 5: Solve for x
    x = 490,028,000,400/296,847
  6. Step 6: Final answer
    x = 1,650,776.33

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.