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Finding the Third Proportional to 214,097 and 466,332

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Solution

The third proportional to 214,097 and 466,332 is: 1,015,733.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,097 : 466,332 = 466,332 : x
  2. Step 2: Convert to fraction form
    214,097/466,332 = 466,332/x
  3. Step 3: Cross multiply
    214,097x = 466,332 × 466,332
  4. Step 4: Simplify right side
    214,097x = 217,465,534,224
  5. Step 5: Solve for x
    x = 217,465,534,224/214,097
  6. Step 6: Final answer
    x = 1,015,733.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.