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Finding the Third Proportional to 234,432 and 363,228

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Solution

The third proportional to 234,432 and 363,228 is: 562,784.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,432 : 363,228 = 363,228 : x
  2. Step 2: Convert to fraction form
    234,432/363,228 = 363,228/x
  3. Step 3: Cross multiply
    234,432x = 363,228 × 363,228
  4. Step 4: Simplify right side
    234,432x = 131,934,579,984
  5. Step 5: Solve for x
    x = 131,934,579,984/234,432
  6. Step 6: Final answer
    x = 562,784.01

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.