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Finding the Third Proportional to 635,450 and 933,715

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Solution

The third proportional to 635,450 and 933,715 is: 1,371,978.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,450 : 933,715 = 933,715 : x
  2. Step 2: Convert to fraction form
    635,450/933,715 = 933,715/x
  3. Step 3: Cross multiply
    635,450x = 933,715 × 933,715
  4. Step 4: Simplify right side
    635,450x = 871,823,701,225
  5. Step 5: Solve for x
    x = 871,823,701,225/635,450
  6. Step 6: Final answer
    x = 1,371,978.44

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.