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Finding the Third Proportional to 602,667 and 933,165

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Solution

The third proportional to 602,667 and 933,165 is: 1,444,905.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,667 : 933,165 = 933,165 : x
  2. Step 2: Convert to fraction form
    602,667/933,165 = 933,165/x
  3. Step 3: Cross multiply
    602,667x = 933,165 × 933,165
  4. Step 4: Simplify right side
    602,667x = 870,796,917,225
  5. Step 5: Solve for x
    x = 870,796,917,225/602,667
  6. Step 6: Final answer
    x = 1,444,905.59

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.