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Finding the Third Proportional to 239,154 and 503,094

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Solution

The third proportional to 239,154 and 503,094 is: 1,058,328.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,154 : 503,094 = 503,094 : x
  2. Step 2: Convert to fraction form
    239,154/503,094 = 503,094/x
  3. Step 3: Cross multiply
    239,154x = 503,094 × 503,094
  4. Step 4: Simplify right side
    239,154x = 253,103,572,836
  5. Step 5: Solve for x
    x = 253,103,572,836/239,154
  6. Step 6: Final answer
    x = 1,058,328.83

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.