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Finding the Third Proportional to 300,307.50 and 404,493.75

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Solution

The third proportional to 300,307.50 and 404,493.75 is: 544,825.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,307.50 : 404,493.75 = 404,493.75 : x
  2. Step 2: Convert to fraction form
    300,307.50/404,493.75 = 404,493.75/x
  3. Step 3: Cross multiply
    300,307.50x = 404,493.75 × 404,493.75
  4. Step 4: Simplify right side
    300,307.50x = 163,615,193,789.06
  5. Step 5: Solve for x
    x = 163,615,193,789.06/300,307.50
  6. Step 6: Final answer
    x = 544,825.53

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.