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Finding the Third Proportional to 299,445.75 and 645,729.75

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Solution

The third proportional to 299,445.75 and 645,729.75 is: 1,392,462.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,445.75 : 645,729.75 = 645,729.75 : x
  2. Step 2: Convert to fraction form
    299,445.75/645,729.75 = 645,729.75/x
  3. Step 3: Cross multiply
    299,445.75x = 645,729.75 × 645,729.75
  4. Step 4: Simplify right side
    299,445.75x = 416,966,910,035.06
  5. Step 5: Solve for x
    x = 416,966,910,035.06/299,445.75
  6. Step 6: Final answer
    x = 1,392,462.27

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.