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Finding the Third Proportional to 579,096 and 872,896.50

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Solution

The third proportional to 579,096 and 872,896.50 is: 1,315,754.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    579,096 : 872,896.50 = 872,896.50 : x
  2. Step 2: Convert to fraction form
    579,096/872,896.50 = 872,896.50/x
  3. Step 3: Cross multiply
    579,096x = 872,896.50 × 872,896.50
  4. Step 4: Simplify right side
    579,096x = 761,948,299,712.25
  5. Step 5: Solve for x
    x = 761,948,299,712.25/579,096
  6. Step 6: Final answer
    x = 1,315,754.73

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.