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Finding the Third Proportional to 239,830 and 512,890

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Solution

The third proportional to 239,830 and 512,890 is: 1,096,844.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,830 : 512,890 = 512,890 : x
  2. Step 2: Convert to fraction form
    239,830/512,890 = 512,890/x
  3. Step 3: Cross multiply
    239,830x = 512,890 × 512,890
  4. Step 4: Simplify right side
    239,830x = 263,056,152,100
  5. Step 5: Solve for x
    x = 263,056,152,100/239,830
  6. Step 6: Final answer
    x = 1,096,844.23

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.