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Finding the Third Proportional to 214,518.38 and 471,045.38

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Solution

The third proportional to 214,518.38 and 471,045.38 is: 1,034,334.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,518.38 : 471,045.38 = 471,045.38 : x
  2. Step 2: Convert to fraction form
    214,518.38/471,045.38 = 471,045.38/x
  3. Step 3: Cross multiply
    214,518.38x = 471,045.38 × 471,045.38
  4. Step 4: Simplify right side
    214,518.38x = 221,883,745,308.89
  5. Step 5: Solve for x
    x = 221,883,745,308.89/214,518.38
  6. Step 6: Final answer
    x = 1,034,334.45

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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.