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Finding the Third Proportional to 333,289 and 733,281

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Solution

The third proportional to 333,289 and 733,281 is: 1,613,317.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,289 : 733,281 = 733,281 : x
  2. Step 2: Convert to fraction form
    333,289/733,281 = 733,281/x
  3. Step 3: Cross multiply
    333,289x = 733,281 × 733,281
  4. Step 4: Simplify right side
    333,289x = 537,701,024,961
  5. Step 5: Solve for x
    x = 537,701,024,961/333,289
  6. Step 6: Final answer
    x = 1,613,317.65

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Why These Related Problems?

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