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Finding the Third Proportional to 296,759 and 700,081

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Solution

The third proportional to 296,759 and 700,081 is: 1,651,553.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,759 : 700,081 = 700,081 : x
  2. Step 2: Convert to fraction form
    296,759/700,081 = 700,081/x
  3. Step 3: Cross multiply
    296,759x = 700,081 × 700,081
  4. Step 4: Simplify right side
    296,759x = 490,113,406,561
  5. Step 5: Solve for x
    x = 490,113,406,561/296,759
  6. Step 6: Final answer
    x = 1,651,553.64

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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.