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Finding the Third Proportional to 288,501.75 and 627,798.09

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Solution

The third proportional to 288,501.75 and 627,798.09 is: 1,366,128.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,501.75 : 627,798.09 = 627,798.09 : x
  2. Step 2: Convert to fraction form
    288,501.75/627,798.09 = 627,798.09/x
  3. Step 3: Cross multiply
    288,501.75x = 627,798.09 × 627,798.09
  4. Step 4: Simplify right side
    288,501.75x = 394,130,446,516.13
  5. Step 5: Solve for x
    x = 394,130,446,516.13/288,501.75
  6. Step 6: Final answer
    x = 1,366,128.44

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.