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Finding the Third Proportional to 635,438 and 933,699

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Solution

The third proportional to 635,438 and 933,699 is: 1,371,957.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,438 : 933,699 = 933,699 : x
  2. Step 2: Convert to fraction form
    635,438/933,699 = 933,699/x
  3. Step 3: Cross multiply
    635,438x = 933,699 × 933,699
  4. Step 4: Simplify right side
    635,438x = 871,793,822,601
  5. Step 5: Solve for x
    x = 871,793,822,601/635,438
  6. Step 6: Final answer
    x = 1,371,957.33

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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.