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Finding the Third Proportional to 230,058 and 471,271.50

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Solution

The third proportional to 230,058 and 471,271.50 is: 965,394.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,058 : 471,271.50 = 471,271.50 : x
  2. Step 2: Convert to fraction form
    230,058/471,271.50 = 471,271.50/x
  3. Step 3: Cross multiply
    230,058x = 471,271.50 × 471,271.50
  4. Step 4: Simplify right side
    230,058x = 222,096,826,712.25
  5. Step 5: Solve for x
    x = 222,096,826,712.25/230,058
  6. Step 6: Final answer
    x = 965,394.93

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.