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Finding the Third Proportional to 214,574 and 472,132

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Solution

The third proportional to 214,574 and 472,132 is: 1,038,842.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,574 : 472,132 = 472,132 : x
  2. Step 2: Convert to fraction form
    214,574/472,132 = 472,132/x
  3. Step 3: Cross multiply
    214,574x = 472,132 × 472,132
  4. Step 4: Simplify right side
    214,574x = 222,908,625,424
  5. Step 5: Solve for x
    x = 222,908,625,424/214,574
  6. Step 6: Final answer
    x = 1,038,842.66

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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.