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Finding the Third Proportional to 333,848 and 517,721

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Solution

The third proportional to 333,848 and 517,721 is: 802,865.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,848 : 517,721 = 517,721 : x
  2. Step 2: Convert to fraction form
    333,848/517,721 = 517,721/x
  3. Step 3: Cross multiply
    333,848x = 517,721 × 517,721
  4. Step 4: Simplify right side
    333,848x = 268,035,033,841
  5. Step 5: Solve for x
    x = 268,035,033,841/333,848
  6. Step 6: Final answer
    x = 802,865.48

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.