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Finding the Third Proportional to 333,720 and 501,228

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Solution

The third proportional to 333,720 and 501,228 is: 752,815.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,720 : 501,228 = 501,228 : x
  2. Step 2: Convert to fraction form
    333,720/501,228 = 501,228/x
  3. Step 3: Cross multiply
    333,720x = 501,228 × 501,228
  4. Step 4: Simplify right side
    333,720x = 251,229,507,984
  5. Step 5: Solve for x
    x = 251,229,507,984/333,720
  6. Step 6: Final answer
    x = 752,815.26

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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.