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Finding the Third Proportional to 334,848 and 722,808

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Solution

The third proportional to 334,848 and 722,808 is: 1,560,264.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,848 : 722,808 = 722,808 : x
  2. Step 2: Convert to fraction form
    334,848/722,808 = 722,808/x
  3. Step 3: Cross multiply
    334,848x = 722,808 × 722,808
  4. Step 4: Simplify right side
    334,848x = 522,451,404,864
  5. Step 5: Solve for x
    x = 522,451,404,864/334,848
  6. Step 6: Final answer
    x = 1,560,264.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.