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Finding the Third Proportional to 530,721 and 794,137.50

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Solution

The third proportional to 530,721 and 794,137.50 is: 1,188,297.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,721 : 794,137.50 = 794,137.50 : x
  2. Step 2: Convert to fraction form
    530,721/794,137.50 = 794,137.50/x
  3. Step 3: Cross multiply
    530,721x = 794,137.50 × 794,137.50
  4. Step 4: Simplify right side
    530,721x = 630,654,368,906.25
  5. Step 5: Solve for x
    x = 630,654,368,906.25/530,721
  6. Step 6: Final answer
    x = 1,188,297.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.