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Finding the Third Proportional to 340,354.13 and 452,814.75

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Solution

The third proportional to 340,354.13 and 452,814.75 is: 602,434.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,354.13 : 452,814.75 = 452,814.75 : x
  2. Step 2: Convert to fraction form
    340,354.13/452,814.75 = 452,814.75/x
  3. Step 3: Cross multiply
    340,354.13x = 452,814.75 × 452,814.75
  4. Step 4: Simplify right side
    340,354.13x = 205,041,197,817.56
  5. Step 5: Solve for x
    x = 205,041,197,817.56/340,354.13
  6. Step 6: Final answer
    x = 602,434.88

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.