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Finding the Third Proportional to 301,473 and 655,434

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Solution

The third proportional to 301,473 and 655,434 is: 1,424,982.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,473 : 655,434 = 655,434 : x
  2. Step 2: Convert to fraction form
    301,473/655,434 = 655,434/x
  3. Step 3: Cross multiply
    301,473x = 655,434 × 655,434
  4. Step 4: Simplify right side
    301,473x = 429,593,728,356
  5. Step 5: Solve for x
    x = 429,593,728,356/301,473
  6. Step 6: Final answer
    x = 1,424,982.43

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.