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Finding the Third Proportional to 347,231 and 760,935

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Solution

The third proportional to 347,231 and 760,935 is: 1,667,541.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,231 : 760,935 = 760,935 : x
  2. Step 2: Convert to fraction form
    347,231/760,935 = 760,935/x
  3. Step 3: Cross multiply
    347,231x = 760,935 × 760,935
  4. Step 4: Simplify right side
    347,231x = 579,022,074,225
  5. Step 5: Solve for x
    x = 579,022,074,225/347,231
  6. Step 6: Final answer
    x = 1,667,541.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.