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Finding the Third Proportional to 350,152.50 and 768,385.50

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Solution

The third proportional to 350,152.50 and 768,385.50 is: 1,686,168.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,152.50 : 768,385.50 = 768,385.50 : x
  2. Step 2: Convert to fraction form
    350,152.50/768,385.50 = 768,385.50/x
  3. Step 3: Cross multiply
    350,152.50x = 768,385.50 × 768,385.50
  4. Step 4: Simplify right side
    350,152.50x = 590,416,276,610.25
  5. Step 5: Solve for x
    x = 590,416,276,610.25/350,152.50
  6. Step 6: Final answer
    x = 1,686,168.96

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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.