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Finding the Third Proportional to 233,394 and 475,349

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Solution

The third proportional to 233,394 and 475,349 is: 968,134.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,394 : 475,349 = 475,349 : x
  2. Step 2: Convert to fraction form
    233,394/475,349 = 475,349/x
  3. Step 3: Cross multiply
    233,394x = 475,349 × 475,349
  4. Step 4: Simplify right side
    233,394x = 225,956,671,801
  5. Step 5: Solve for x
    x = 225,956,671,801/233,394
  6. Step 6: Final answer
    x = 968,134.02

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.