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Finding the Third Proportional to 200,622 and 294,781

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Solution

The third proportional to 200,622 and 294,781 is: 433,132.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,622 : 294,781 = 294,781 : x
  2. Step 2: Convert to fraction form
    200,622/294,781 = 294,781/x
  3. Step 3: Cross multiply
    200,622x = 294,781 × 294,781
  4. Step 4: Simplify right side
    200,622x = 86,895,837,961
  5. Step 5: Solve for x
    x = 86,895,837,961/200,622
  6. Step 6: Final answer
    x = 433,132.15

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.