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Finding the Third Proportional to 340,426.13 and 494,677.13

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Solution

The third proportional to 340,426.13 and 494,677.13 is: 718,821.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,426.13 : 494,677.13 = 494,677.13 : x
  2. Step 2: Convert to fraction form
    340,426.13/494,677.13 = 494,677.13/x
  3. Step 3: Cross multiply
    340,426.13x = 494,677.13 × 494,677.13
  4. Step 4: Simplify right side
    340,426.13x = 244,705,457,998.27
  5. Step 5: Solve for x
    x = 244,705,457,998.27/340,426.13
  6. Step 6: Final answer
    x = 718,821.03

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.