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Finding the Third Proportional to 655,856 and 965,025

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Solution

The third proportional to 655,856 and 965,025 is: 1,419,935.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,856 : 965,025 = 965,025 : x
  2. Step 2: Convert to fraction form
    655,856/965,025 = 965,025/x
  3. Step 3: Cross multiply
    655,856x = 965,025 × 965,025
  4. Step 4: Simplify right side
    655,856x = 931,273,250,625
  5. Step 5: Solve for x
    x = 931,273,250,625/655,856
  6. Step 6: Final answer
    x = 1,419,935.55

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.