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Finding the Third Proportional to 300,393 and 450,649.50

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Solution

The third proportional to 300,393 and 450,649.50 is: 676,064.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,393 : 450,649.50 = 450,649.50 : x
  2. Step 2: Convert to fraction form
    300,393/450,649.50 = 450,649.50/x
  3. Step 3: Cross multiply
    300,393x = 450,649.50 × 450,649.50
  4. Step 4: Simplify right side
    300,393x = 203,084,971,850.25
  5. Step 5: Solve for x
    x = 203,084,971,850.25/300,393
  6. Step 6: Final answer
    x = 676,064.26

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