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Finding the Third Proportional to 350,706.50 and 755,495.50

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Solution

The third proportional to 350,706.50 and 755,495.50 is: 1,627,496.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,706.50 : 755,495.50 = 755,495.50 : x
  2. Step 2: Convert to fraction form
    350,706.50/755,495.50 = 755,495.50/x
  3. Step 3: Cross multiply
    350,706.50x = 755,495.50 × 755,495.50
  4. Step 4: Simplify right side
    350,706.50x = 570,773,450,520.25
  5. Step 5: Solve for x
    x = 570,773,450,520.25/350,706.50
  6. Step 6: Final answer
    x = 1,627,496.07

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.