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Finding the Third Proportional to 330,094 and 498,300

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Solution

The third proportional to 330,094 and 498,300 is: 752,218.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,094 : 498,300 = 498,300 : x
  2. Step 2: Convert to fraction form
    330,094/498,300 = 498,300/x
  3. Step 3: Cross multiply
    330,094x = 498,300 × 498,300
  4. Step 4: Simplify right side
    330,094x = 248,302,890,000
  5. Step 5: Solve for x
    x = 248,302,890,000/330,094
  6. Step 6: Final answer
    x = 752,218.73

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.