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Finding the Third Proportional to 297,265.50 and 653,580

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Solution

The third proportional to 297,265.50 and 653,580 is: 1,436,987.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,265.50 : 653,580 = 653,580 : x
  2. Step 2: Convert to fraction form
    297,265.50/653,580 = 653,580/x
  3. Step 3: Cross multiply
    297,265.50x = 653,580 × 653,580
  4. Step 4: Simplify right side
    297,265.50x = 427,166,816,400
  5. Step 5: Solve for x
    x = 427,166,816,400/297,265.50
  6. Step 6: Final answer
    x = 1,436,987.53

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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.