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Finding the Third Proportional to 402,070.50 and 622,815.75

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Solution

The third proportional to 402,070.50 and 622,815.75 is: 964,754.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,070.50 : 622,815.75 = 622,815.75 : x
  2. Step 2: Convert to fraction form
    402,070.50/622,815.75 = 622,815.75/x
  3. Step 3: Cross multiply
    402,070.50x = 622,815.75 × 622,815.75
  4. Step 4: Simplify right side
    402,070.50x = 387,899,458,448.06
  5. Step 5: Solve for x
    x = 387,899,458,448.06/402,070.50
  6. Step 6: Final answer
    x = 964,754.83

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.