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Finding the Third Proportional to 301,477 and 655,442

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Solution

The third proportional to 301,477 and 655,442 is: 1,424,998.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,477 : 655,442 = 655,442 : x
  2. Step 2: Convert to fraction form
    301,477/655,442 = 655,442/x
  3. Step 3: Cross multiply
    301,477x = 655,442 × 655,442
  4. Step 4: Simplify right side
    301,477x = 429,604,215,364
  5. Step 5: Solve for x
    x = 429,604,215,364/301,477
  6. Step 6: Final answer
    x = 1,424,998.31

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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.