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Finding the Third Proportional to 301,795.50 and 452,729.25

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Solution

The third proportional to 301,795.50 and 452,729.25 is: 679,147.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,795.50 : 452,729.25 = 452,729.25 : x
  2. Step 2: Convert to fraction form
    301,795.50/452,729.25 = 452,729.25/x
  3. Step 3: Cross multiply
    301,795.50x = 452,729.25 × 452,729.25
  4. Step 4: Simplify right side
    301,795.50x = 204,963,773,805.56
  5. Step 5: Solve for x
    x = 204,963,773,805.56/301,795.50
  6. Step 6: Final answer
    x = 679,147.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.