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Finding the Third Proportional to 461,569.50 and 969,790.50

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Solution

The third proportional to 461,569.50 and 969,790.50 is: 2,037,599.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,569.50 : 969,790.50 = 969,790.50 : x
  2. Step 2: Convert to fraction form
    461,569.50/969,790.50 = 969,790.50/x
  3. Step 3: Cross multiply
    461,569.50x = 969,790.50 × 969,790.50
  4. Step 4: Simplify right side
    461,569.50x = 940,493,613,890.25
  5. Step 5: Solve for x
    x = 940,493,613,890.25/461,569.50
  6. Step 6: Final answer
    x = 2,037,599.13

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.