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Finding the Third Proportional to 334,484.25 and 476,814.38

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Solution

The third proportional to 334,484.25 and 476,814.38 is: 679,708.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,484.25 : 476,814.38 = 476,814.38 : x
  2. Step 2: Convert to fraction form
    334,484.25/476,814.38 = 476,814.38/x
  3. Step 3: Cross multiply
    334,484.25x = 476,814.38 × 476,814.38
  4. Step 4: Simplify right side
    334,484.25x = 227,351,948,206.64
  5. Step 5: Solve for x
    x = 227,351,948,206.64/334,484.25
  6. Step 6: Final answer
    x = 679,708.98

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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.