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Finding the Third Proportional to 524,589 and 797,140.50

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Solution

The third proportional to 524,589 and 797,140.50 is: 1,211,296.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,589 : 797,140.50 = 797,140.50 : x
  2. Step 2: Convert to fraction form
    524,589/797,140.50 = 797,140.50/x
  3. Step 3: Cross multiply
    524,589x = 797,140.50 × 797,140.50
  4. Step 4: Simplify right side
    524,589x = 635,432,976,740.25
  5. Step 5: Solve for x
    x = 635,432,976,740.25/524,589
  6. Step 6: Final answer
    x = 1,211,296.80

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.