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Finding the Third Proportional to 333,555 and 733,534.50

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Solution

The third proportional to 333,555 and 733,534.50 is: 1,613,145.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,555 : 733,534.50 = 733,534.50 : x
  2. Step 2: Convert to fraction form
    333,555/733,534.50 = 733,534.50/x
  3. Step 3: Cross multiply
    333,555x = 733,534.50 × 733,534.50
  4. Step 4: Simplify right side
    333,555x = 538,072,862,690.25
  5. Step 5: Solve for x
    x = 538,072,862,690.25/333,555
  6. Step 6: Final answer
    x = 1,613,145.85

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.