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Finding the Third Proportional to 290,283.75 and 448,548.75

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Solution

The third proportional to 290,283.75 and 448,548.75 is: 693,101.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,283.75 : 448,548.75 = 448,548.75 : x
  2. Step 2: Convert to fraction form
    290,283.75/448,548.75 = 448,548.75/x
  3. Step 3: Cross multiply
    290,283.75x = 448,548.75 × 448,548.75
  4. Step 4: Simplify right side
    290,283.75x = 201,195,981,126.56
  5. Step 5: Solve for x
    x = 201,195,981,126.56/290,283.75
  6. Step 6: Final answer
    x = 693,101.08

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.