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Finding the Third Proportional to 234,323 and 485,262

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Solution

The third proportional to 234,323 and 485,262 is: 1,004,934.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,323 : 485,262 = 485,262 : x
  2. Step 2: Convert to fraction form
    234,323/485,262 = 485,262/x
  3. Step 3: Cross multiply
    234,323x = 485,262 × 485,262
  4. Step 4: Simplify right side
    234,323x = 235,479,208,644
  5. Step 5: Solve for x
    x = 235,479,208,644/234,323
  6. Step 6: Final answer
    x = 1,004,934.25

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.