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Finding the Third Proportional to 301,768.17 and 655,434.84

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Solution

The third proportional to 301,768.17 and 655,434.84 is: 1,423,592.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,768.17 : 655,434.84 = 655,434.84 : x
  2. Step 2: Convert to fraction form
    301,768.17/655,434.84 = 655,434.84/x
  3. Step 3: Cross multiply
    301,768.17x = 655,434.84 × 655,434.84
  4. Step 4: Simplify right side
    301,768.17x = 429,594,834,401.59
  5. Step 5: Solve for x
    x = 429,594,834,401.59/301,768.17
  6. Step 6: Final answer
    x = 1,423,592.26

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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.