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Finding the Third Proportional to 298,940 and 498,232

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Solution

The third proportional to 298,940 and 498,232 is: 830,384.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,940 : 498,232 = 498,232 : x
  2. Step 2: Convert to fraction form
    298,940/498,232 = 498,232/x
  3. Step 3: Cross multiply
    298,940x = 498,232 × 498,232
  4. Step 4: Simplify right side
    298,940x = 248,235,125,824
  5. Step 5: Solve for x
    x = 248,235,125,824/298,940
  6. Step 6: Final answer
    x = 830,384.44

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.