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Finding the Third Proportional to 299,418.75 and 612,807.75

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Solution

The third proportional to 299,418.75 and 612,807.75 is: 1,254,207.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,418.75 : 612,807.75 = 612,807.75 : x
  2. Step 2: Convert to fraction form
    299,418.75/612,807.75 = 612,807.75/x
  3. Step 3: Cross multiply
    299,418.75x = 612,807.75 × 612,807.75
  4. Step 4: Simplify right side
    299,418.75x = 375,533,338,460.06
  5. Step 5: Solve for x
    x = 375,533,338,460.06/299,418.75
  6. Step 6: Final answer
    x = 1,254,207.82

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.