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Finding the Third Proportional to 297,046.88 and 700,530.75

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Solution

The third proportional to 297,046.88 and 700,530.75 is: 1,652,073.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,046.88 : 700,530.75 = 700,530.75 : x
  2. Step 2: Convert to fraction form
    297,046.88/700,530.75 = 700,530.75/x
  3. Step 3: Cross multiply
    297,046.88x = 700,530.75 × 700,530.75
  4. Step 4: Simplify right side
    297,046.88x = 490,743,331,695.56
  5. Step 5: Solve for x
    x = 490,743,331,695.56/297,046.88
  6. Step 6: Final answer
    x = 1,652,073.71

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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.