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Finding the Third Proportional to 347,238 and 760,948

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Solution

The third proportional to 347,238 and 760,948 is: 1,667,564.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,238 : 760,948 = 760,948 : x
  2. Step 2: Convert to fraction form
    347,238/760,948 = 760,948/x
  3. Step 3: Cross multiply
    347,238x = 760,948 × 760,948
  4. Step 4: Simplify right side
    347,238x = 579,041,858,704
  5. Step 5: Solve for x
    x = 579,041,858,704/347,238
  6. Step 6: Final answer
    x = 1,667,564.78

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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.