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Finding the Third Proportional to 347,144 and 760,868

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Solution

The third proportional to 347,144 and 760,868 is: 1,667,665.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,144 : 760,868 = 760,868 : x
  2. Step 2: Convert to fraction form
    347,144/760,868 = 760,868/x
  3. Step 3: Cross multiply
    347,144x = 760,868 × 760,868
  4. Step 4: Simplify right side
    347,144x = 578,920,113,424
  5. Step 5: Solve for x
    x = 578,920,113,424/347,144
  6. Step 6: Final answer
    x = 1,667,665.62

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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.