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Finding the Third Proportional to 347,180 and 760,834

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Solution

The third proportional to 347,180 and 760,834 is: 1,667,343.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,180 : 760,834 = 760,834 : x
  2. Step 2: Convert to fraction form
    347,180/760,834 = 760,834/x
  3. Step 3: Cross multiply
    347,180x = 760,834 × 760,834
  4. Step 4: Simplify right side
    347,180x = 578,868,375,556
  5. Step 5: Solve for x
    x = 578,868,375,556/347,180
  6. Step 6: Final answer
    x = 1,667,343.67

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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.