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Finding the Third Proportional to 650,156.63 and 862,923.38

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Solution

The third proportional to 650,156.63 and 862,923.38 is: 1,145,319.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,156.63 : 862,923.38 = 862,923.38 : x
  2. Step 2: Convert to fraction form
    650,156.63/862,923.38 = 862,923.38/x
  3. Step 3: Cross multiply
    650,156.63x = 862,923.38 × 862,923.38
  4. Step 4: Simplify right side
    650,156.63x = 744,636,751,121.39
  5. Step 5: Solve for x
    x = 744,636,751,121.39/650,156.63
  6. Step 6: Final answer
    x = 1,145,319.02

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.