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Finding the Third Proportional to 272,038 and 408,058

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Solution

The third proportional to 272,038 and 408,058 is: 612,088.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,038 : 408,058 = 408,058 : x
  2. Step 2: Convert to fraction form
    272,038/408,058 = 408,058/x
  3. Step 3: Cross multiply
    272,038x = 408,058 × 408,058
  4. Step 4: Simplify right side
    272,038x = 166,511,331,364
  5. Step 5: Solve for x
    x = 166,511,331,364/272,038
  6. Step 6: Final answer
    x = 612,088.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.