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Finding the Third Proportional to 274,357.50 and 598,989

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Solution

The third proportional to 274,357.50 and 598,989 is: 1,307,738.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,357.50 : 598,989 = 598,989 : x
  2. Step 2: Convert to fraction form
    274,357.50/598,989 = 598,989/x
  3. Step 3: Cross multiply
    274,357.50x = 598,989 × 598,989
  4. Step 4: Simplify right side
    274,357.50x = 358,787,822,121
  5. Step 5: Solve for x
    x = 358,787,822,121/274,357.50
  6. Step 6: Final answer
    x = 1,307,738.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.