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Finding the Third Proportional to 272,212 and 398,822

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Solution

The third proportional to 272,212 and 398,822 is: 584,320.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,212 : 398,822 = 398,822 : x
  2. Step 2: Convert to fraction form
    272,212/398,822 = 398,822/x
  3. Step 3: Cross multiply
    272,212x = 398,822 × 398,822
  4. Step 4: Simplify right side
    272,212x = 159,058,987,684
  5. Step 5: Solve for x
    x = 159,058,987,684/272,212
  6. Step 6: Final answer
    x = 584,320.26

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.