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Finding the Third Proportional to 333,714 and 516,573

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Solution

The third proportional to 333,714 and 516,573 is: 799,629.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,714 : 516,573 = 516,573 : x
  2. Step 2: Convert to fraction form
    333,714/516,573 = 516,573/x
  3. Step 3: Cross multiply
    333,714x = 516,573 × 516,573
  4. Step 4: Simplify right side
    333,714x = 266,847,664,329
  5. Step 5: Solve for x
    x = 266,847,664,329/333,714
  6. Step 6: Final answer
    x = 799,629.82

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.