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Finding the Third Proportional to 297,466 and 653,980

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Solution

The third proportional to 297,466 and 653,980 is: 1,437,777.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,466 : 653,980 = 653,980 : x
  2. Step 2: Convert to fraction form
    297,466/653,980 = 653,980/x
  3. Step 3: Cross multiply
    297,466x = 653,980 × 653,980
  4. Step 4: Simplify right side
    297,466x = 427,689,840,400
  5. Step 5: Solve for x
    x = 427,689,840,400/297,466
  6. Step 6: Final answer
    x = 1,437,777.23

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.