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Finding the Third Proportional to 572,236.50 and 884,657.25

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Solution

The third proportional to 572,236.50 and 884,657.25 is: 1,367,648.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    572,236.50 : 884,657.25 = 884,657.25 : x
  2. Step 2: Convert to fraction form
    572,236.50/884,657.25 = 884,657.25/x
  3. Step 3: Cross multiply
    572,236.50x = 884,657.25 × 884,657.25
  4. Step 4: Simplify right side
    572,236.50x = 782,618,449,977.56
  5. Step 5: Solve for x
    x = 782,618,449,977.56/572,236.50
  6. Step 6: Final answer
    x = 1,367,648.60

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.