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Finding the Third Proportional to 347,469.75 and 761,369.63

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Solution

The third proportional to 347,469.75 and 761,369.63 is: 1,668,299.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,469.75 : 761,369.63 = 761,369.63 : x
  2. Step 2: Convert to fraction form
    347,469.75/761,369.63 = 761,369.63/x
  3. Step 3: Cross multiply
    347,469.75x = 761,369.63 × 761,369.63
  4. Step 4: Simplify right side
    347,469.75x = 579,683,705,872.64
  5. Step 5: Solve for x
    x = 579,683,705,872.64/347,469.75
  6. Step 6: Final answer
    x = 1,668,299.78

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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.