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Finding the Third Proportional to 214,520 and 471,050

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Solution

The third proportional to 214,520 and 471,050 is: 1,034,346.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,520 : 471,050 = 471,050 : x
  2. Step 2: Convert to fraction form
    214,520/471,050 = 471,050/x
  3. Step 3: Cross multiply
    214,520x = 471,050 × 471,050
  4. Step 4: Simplify right side
    214,520x = 221,888,102,500
  5. Step 5: Solve for x
    x = 221,888,102,500/214,520
  6. Step 6: Final answer
    x = 1,034,346.93

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.