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Finding the Third Proportional to 297,508 and 653,984

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Solution

The third proportional to 297,508 and 653,984 is: 1,437,591.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,508 : 653,984 = 653,984 : x
  2. Step 2: Convert to fraction form
    297,508/653,984 = 653,984/x
  3. Step 3: Cross multiply
    297,508x = 653,984 × 653,984
  4. Step 4: Simplify right side
    297,508x = 427,695,072,256
  5. Step 5: Solve for x
    x = 427,695,072,256/297,508
  6. Step 6: Final answer
    x = 1,437,591.84

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Why These Related Problems?

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