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Finding the Third Proportional to 239,058 and 514,999.50

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Solution

The third proportional to 239,058 and 514,999.50 is: 1,109,456.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,058 : 514,999.50 = 514,999.50 : x
  2. Step 2: Convert to fraction form
    239,058/514,999.50 = 514,999.50/x
  3. Step 3: Cross multiply
    239,058x = 514,999.50 × 514,999.50
  4. Step 4: Simplify right side
    239,058x = 265,224,485,000.25
  5. Step 5: Solve for x
    x = 265,224,485,000.25/239,058
  6. Step 6: Final answer
    x = 1,109,456.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.