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Finding the Third Proportional to 358,081 and 517,847.75

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Solution

The third proportional to 358,081 and 517,847.75 is: 748,898.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,081 : 517,847.75 = 517,847.75 : x
  2. Step 2: Convert to fraction form
    358,081/517,847.75 = 517,847.75/x
  3. Step 3: Cross multiply
    358,081x = 517,847.75 × 517,847.75
  4. Step 4: Simplify right side
    358,081x = 268,166,292,180.06
  5. Step 5: Solve for x
    x = 268,166,292,180.06/358,081
  6. Step 6: Final answer
    x = 748,898.41

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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.