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Finding the Third Proportional to 333,537 and 733,500

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Solution

The third proportional to 333,537 and 733,500 is: 1,613,081.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,537 : 733,500 = 733,500 : x
  2. Step 2: Convert to fraction form
    333,537/733,500 = 733,500/x
  3. Step 3: Cross multiply
    333,537x = 733,500 × 733,500
  4. Step 4: Simplify right side
    333,537x = 538,022,250,000
  5. Step 5: Solve for x
    x = 538,022,250,000/333,537
  6. Step 6: Final answer
    x = 1,613,081.16

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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.