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Finding the Third Proportional to 347,869.69 and 755,223.75

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Solution

The third proportional to 347,869.69 and 755,223.75 is: 1,639,587.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,869.69 : 755,223.75 = 755,223.75 : x
  2. Step 2: Convert to fraction form
    347,869.69/755,223.75 = 755,223.75/x
  3. Step 3: Cross multiply
    347,869.69x = 755,223.75 × 755,223.75
  4. Step 4: Simplify right side
    347,869.69x = 570,362,912,564.06
  5. Step 5: Solve for x
    x = 570,362,912,564.06/347,869.69
  6. Step 6: Final answer
    x = 1,639,587.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.