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Finding the Third Proportional to 395,700.75 and 933,157.13

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Solution

The third proportional to 395,700.75 and 933,157.13 is: 2,200,607.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,700.75 : 933,157.13 = 933,157.13 : x
  2. Step 2: Convert to fraction form
    395,700.75/933,157.13 = 933,157.13/x
  3. Step 3: Cross multiply
    395,700.75x = 933,157.13 × 933,157.13
  4. Step 4: Simplify right side
    395,700.75x = 870,782,219,938.27
  5. Step 5: Solve for x
    x = 870,782,219,938.27/395,700.75
  6. Step 6: Final answer
    x = 2,200,607.96

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.