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Finding the Third Proportional to 623,108 and 933,616

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Solution

The third proportional to 623,108 and 933,616 is: 1,398,856.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,108 : 933,616 = 933,616 : x
  2. Step 2: Convert to fraction form
    623,108/933,616 = 933,616/x
  3. Step 3: Cross multiply
    623,108x = 933,616 × 933,616
  4. Step 4: Simplify right side
    623,108x = 871,638,835,456
  5. Step 5: Solve for x
    x = 871,638,835,456/623,108
  6. Step 6: Final answer
    x = 1,398,856.76

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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.