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Finding the Third Proportional to 349,122 and 533,828

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Solution

The third proportional to 349,122 and 533,828 is: 816,254.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,122 : 533,828 = 533,828 : x
  2. Step 2: Convert to fraction form
    349,122/533,828 = 533,828/x
  3. Step 3: Cross multiply
    349,122x = 533,828 × 533,828
  4. Step 4: Simplify right side
    349,122x = 284,972,333,584
  5. Step 5: Solve for x
    x = 284,972,333,584/349,122
  6. Step 6: Final answer
    x = 816,254.30

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.