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Finding the Third Proportional to 463,826.25 and 661,503.38

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Solution

The third proportional to 463,826.25 and 661,503.38 is: 943,428.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,826.25 : 661,503.38 = 661,503.38 : x
  2. Step 2: Convert to fraction form
    463,826.25/661,503.38 = 661,503.38/x
  3. Step 3: Cross multiply
    463,826.25x = 661,503.38 × 661,503.38
  4. Step 4: Simplify right side
    463,826.25x = 437,586,715,136.39
  5. Step 5: Solve for x
    x = 437,586,715,136.39/463,826.25
  6. Step 6: Final answer
    x = 943,428.09

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.