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Finding the Third Proportional to 623,045 and 933,529

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Solution

The third proportional to 623,045 and 933,529 is: 1,398,737.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,045 : 933,529 = 933,529 : x
  2. Step 2: Convert to fraction form
    623,045/933,529 = 933,529/x
  3. Step 3: Cross multiply
    623,045x = 933,529 × 933,529
  4. Step 4: Simplify right side
    623,045x = 871,476,393,841
  5. Step 5: Solve for x
    x = 871,476,393,841/623,045
  6. Step 6: Final answer
    x = 1,398,737.48

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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.