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Finding the Third Proportional to 297,992 and 652,671

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Solution

The third proportional to 297,992 and 652,671 is: 1,429,499.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,992 : 652,671 = 652,671 : x
  2. Step 2: Convert to fraction form
    297,992/652,671 = 652,671/x
  3. Step 3: Cross multiply
    297,992x = 652,671 × 652,671
  4. Step 4: Simplify right side
    297,992x = 425,979,434,241
  5. Step 5: Solve for x
    x = 425,979,434,241/297,992
  6. Step 6: Final answer
    x = 1,429,499.56

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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.