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Finding the Third Proportional to 301,035 and 653,892

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Solution

The third proportional to 301,035 and 653,892 is: 1,420,348.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,035 : 653,892 = 653,892 : x
  2. Step 2: Convert to fraction form
    301,035/653,892 = 653,892/x
  3. Step 3: Cross multiply
    301,035x = 653,892 × 653,892
  4. Step 4: Simplify right side
    301,035x = 427,574,747,664
  5. Step 5: Solve for x
    x = 427,574,747,664/301,035
  6. Step 6: Final answer
    x = 1,420,348.95

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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.