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Finding the Third Proportional to 501,612.75 and 757,767.38

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Solution

The third proportional to 501,612.75 and 757,767.38 is: 1,144,730.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,612.75 : 757,767.38 = 757,767.38 : x
  2. Step 2: Convert to fraction form
    501,612.75/757,767.38 = 757,767.38/x
  3. Step 3: Cross multiply
    501,612.75x = 757,767.38 × 757,767.38
  4. Step 4: Simplify right side
    501,612.75x = 574,211,394,614.39
  5. Step 5: Solve for x
    x = 574,211,394,614.39/501,612.75
  6. Step 6: Final answer
    x = 1,144,730.46

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.