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Finding the Third Proportional to 236,434 and 363,402

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Solution

The third proportional to 236,434 and 363,402 is: 558,553.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,434 : 363,402 = 363,402 : x
  2. Step 2: Convert to fraction form
    236,434/363,402 = 363,402/x
  3. Step 3: Cross multiply
    236,434x = 363,402 × 363,402
  4. Step 4: Simplify right side
    236,434x = 132,061,013,604
  5. Step 5: Solve for x
    x = 132,061,013,604/236,434
  6. Step 6: Final answer
    x = 558,553.40

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.