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Finding the Third Proportional to 214,480 and 471,260

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Solution

The third proportional to 214,480 and 471,260 is: 1,035,462.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,480 : 471,260 = 471,260 : x
  2. Step 2: Convert to fraction form
    214,480/471,260 = 471,260/x
  3. Step 3: Cross multiply
    214,480x = 471,260 × 471,260
  4. Step 4: Simplify right side
    214,480x = 222,085,987,600
  5. Step 5: Solve for x
    x = 222,085,987,600/214,480
  6. Step 6: Final answer
    x = 1,035,462.46

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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.