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Finding the Third Proportional to 301,299 and 655,026

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Solution

The third proportional to 301,299 and 655,026 is: 1,424,030.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,299 : 655,026 = 655,026 : x
  2. Step 2: Convert to fraction form
    301,299/655,026 = 655,026/x
  3. Step 3: Cross multiply
    301,299x = 655,026 × 655,026
  4. Step 4: Simplify right side
    301,299x = 429,059,060,676
  5. Step 5: Solve for x
    x = 429,059,060,676/301,299
  6. Step 6: Final answer
    x = 1,424,030.82

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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.