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Finding the Third Proportional to 334,379 and 730,966

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Solution

The third proportional to 334,379 and 730,966 is: 1,597,921.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,379 : 730,966 = 730,966 : x
  2. Step 2: Convert to fraction form
    334,379/730,966 = 730,966/x
  3. Step 3: Cross multiply
    334,379x = 730,966 × 730,966
  4. Step 4: Simplify right side
    334,379x = 534,311,293,156
  5. Step 5: Solve for x
    x = 534,311,293,156/334,379
  6. Step 6: Final answer
    x = 1,597,921.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.