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Finding the Third Proportional to 334,138.88 and 482,773.13

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Solution

The third proportional to 334,138.88 and 482,773.13 is: 697,524.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,138.88 : 482,773.13 = 482,773.13 : x
  2. Step 2: Convert to fraction form
    334,138.88/482,773.13 = 482,773.13/x
  3. Step 3: Cross multiply
    334,138.88x = 482,773.13 × 482,773.13
  4. Step 4: Simplify right side
    334,138.88x = 233,069,890,222.27
  5. Step 5: Solve for x
    x = 233,069,890,222.27/334,138.88
  6. Step 6: Final answer
    x = 697,524.02

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.