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Finding the Third Proportional to 524,847 and 835,540.50

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Solution

The third proportional to 524,847 and 835,540.50 is: 1,330,155.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,847 : 835,540.50 = 835,540.50 : x
  2. Step 2: Convert to fraction form
    524,847/835,540.50 = 835,540.50/x
  3. Step 3: Cross multiply
    524,847x = 835,540.50 × 835,540.50
  4. Step 4: Simplify right side
    524,847x = 698,127,927,140.25
  5. Step 5: Solve for x
    x = 698,127,927,140.25/524,847
  6. Step 6: Final answer
    x = 1,330,155.13

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.