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Finding the Third Proportional to 623,114 and 933,625

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Solution

The third proportional to 623,114 and 933,625 is: 1,398,870.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,114 : 933,625 = 933,625 : x
  2. Step 2: Convert to fraction form
    623,114/933,625 = 933,625/x
  3. Step 3: Cross multiply
    623,114x = 933,625 × 933,625
  4. Step 4: Simplify right side
    623,114x = 871,655,640,625
  5. Step 5: Solve for x
    x = 871,655,640,625/623,114
  6. Step 6: Final answer
    x = 1,398,870.26

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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.