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Finding the Third Proportional to 320,508 and 700,551

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Solution

The third proportional to 320,508 and 700,551 is: 1,531,230.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,508 : 700,551 = 700,551 : x
  2. Step 2: Convert to fraction form
    320,508/700,551 = 700,551/x
  3. Step 3: Cross multiply
    320,508x = 700,551 × 700,551
  4. Step 4: Simplify right side
    320,508x = 490,771,703,601
  5. Step 5: Solve for x
    x = 490,771,703,601/320,508
  6. Step 6: Final answer
    x = 1,531,230.74

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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.