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Finding the Third Proportional to 623,058.75 and 933,551.25

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Solution

The third proportional to 623,058.75 and 933,551.25 is: 1,398,773.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,058.75 : 933,551.25 = 933,551.25 : x
  2. Step 2: Convert to fraction form
    623,058.75/933,551.25 = 933,551.25/x
  3. Step 3: Cross multiply
    623,058.75x = 933,551.25 × 933,551.25
  4. Step 4: Simplify right side
    623,058.75x = 871,517,936,376.56
  5. Step 5: Solve for x
    x = 871,517,936,376.56/623,058.75
  6. Step 6: Final answer
    x = 1,398,773.29

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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.