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Finding the Third Proportional to 290,202.75 and 448,242.75

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Solution

The third proportional to 290,202.75 and 448,242.75 is: 692,348.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,202.75 : 448,242.75 = 448,242.75 : x
  2. Step 2: Convert to fraction form
    290,202.75/448,242.75 = 448,242.75/x
  3. Step 3: Cross multiply
    290,202.75x = 448,242.75 × 448,242.75
  4. Step 4: Simplify right side
    290,202.75x = 200,921,562,927.56
  5. Step 5: Solve for x
    x = 200,921,562,927.56/290,202.75
  6. Step 6: Final answer
    x = 692,348.93

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.