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Finding the Third Proportional to 361,921.50 and 786,051

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Solution

The third proportional to 361,921.50 and 786,051 is: 1,707,210.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,921.50 : 786,051 = 786,051 : x
  2. Step 2: Convert to fraction form
    361,921.50/786,051 = 786,051/x
  3. Step 3: Cross multiply
    361,921.50x = 786,051 × 786,051
  4. Step 4: Simplify right side
    361,921.50x = 617,876,174,601
  5. Step 5: Solve for x
    x = 617,876,174,601/361,921.50
  6. Step 6: Final answer
    x = 1,707,210.47

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.