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Finding the Third Proportional to 334,550.25 and 476,913.38

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Solution

The third proportional to 334,550.25 and 476,913.38 is: 679,857.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,550.25 : 476,913.38 = 476,913.38 : x
  2. Step 2: Convert to fraction form
    334,550.25/476,913.38 = 476,913.38/x
  3. Step 3: Cross multiply
    334,550.25x = 476,913.38 × 476,913.38
  4. Step 4: Simplify right side
    334,550.25x = 227,446,367,253.89
  5. Step 5: Solve for x
    x = 227,446,367,253.89/334,550.25
  6. Step 6: Final answer
    x = 679,857.11

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.