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Finding the Third Proportional to 292,225.50 and 628,150.50

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Solution

The third proportional to 292,225.50 and 628,150.50 is: 1,350,234.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,225.50 : 628,150.50 = 628,150.50 : x
  2. Step 2: Convert to fraction form
    292,225.50/628,150.50 = 628,150.50/x
  3. Step 3: Cross multiply
    292,225.50x = 628,150.50 × 628,150.50
  4. Step 4: Simplify right side
    292,225.50x = 394,573,050,650.25
  5. Step 5: Solve for x
    x = 394,573,050,650.25/292,225.50
  6. Step 6: Final answer
    x = 1,350,234.84

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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.