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Finding the Third Proportional to 372,640.50 and 810,496.13

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Solution

The third proportional to 372,640.50 and 810,496.13 is: 1,762,835.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,640.50 : 810,496.13 = 810,496.13 : x
  2. Step 2: Convert to fraction form
    372,640.50/810,496.13 = 810,496.13/x
  3. Step 3: Cross multiply
    372,640.50x = 810,496.13 × 810,496.13
  4. Step 4: Simplify right side
    372,640.50x = 656,903,968,640.02
  5. Step 5: Solve for x
    x = 656,903,968,640.02/372,640.50
  6. Step 6: Final answer
    x = 1,762,835.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.