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Finding the Third Proportional to 339,562.13 and 459,520.59

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Solution

The third proportional to 339,562.13 and 459,520.59 is: 621,857.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,562.13 : 459,520.59 = 459,520.59 : x
  2. Step 2: Convert to fraction form
    339,562.13/459,520.59 = 459,520.59/x
  3. Step 3: Cross multiply
    339,562.13x = 459,520.59 × 459,520.59
  4. Step 4: Simplify right side
    339,562.13x = 211,159,176,080.35
  5. Step 5: Solve for x
    x = 211,159,176,080.35/339,562.13
  6. Step 6: Final answer
    x = 621,857.27

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.