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Finding the Third Proportional to 239,169 and 503,124

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Solution

The third proportional to 239,169 and 503,124 is: 1,058,388.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,169 : 503,124 = 503,124 : x
  2. Step 2: Convert to fraction form
    239,169/503,124 = 503,124/x
  3. Step 3: Cross multiply
    239,169x = 503,124 × 503,124
  4. Step 4: Simplify right side
    239,169x = 253,133,759,376
  5. Step 5: Solve for x
    x = 253,133,759,376/239,169
  6. Step 6: Final answer
    x = 1,058,388.67

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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.