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Finding the Third Proportional to 340,452 and 494,695.13

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Solution

The third proportional to 340,452 and 494,695.13 is: 718,818.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,452 : 494,695.13 = 494,695.13 : x
  2. Step 2: Convert to fraction form
    340,452/494,695.13 = 494,695.13/x
  3. Step 3: Cross multiply
    340,452x = 494,695.13 × 494,695.13
  4. Step 4: Simplify right side
    340,452x = 244,723,266,698.77
  5. Step 5: Solve for x
    x = 244,723,266,698.77/340,452
  6. Step 6: Final answer
    x = 718,818.71

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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.