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Finding the Third Proportional to 334,797.05 and 722,518.73

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Solution

The third proportional to 334,797.05 and 722,518.73 is: 1,559,253.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,797.05 : 722,518.73 = 722,518.73 : x
  2. Step 2: Convert to fraction form
    334,797.05/722,518.73 = 722,518.73/x
  3. Step 3: Cross multiply
    334,797.05x = 722,518.73 × 722,518.73
  4. Step 4: Simplify right side
    334,797.05x = 522,033,321,522.85
  5. Step 5: Solve for x
    x = 522,033,321,522.85/334,797.05
  6. Step 6: Final answer
    x = 1,559,253.07

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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.