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Finding the Third Proportional to 367,025 and 778,115

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Solution

The third proportional to 367,025 and 778,115 is: 1,649,650.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,025 : 778,115 = 778,115 : x
  2. Step 2: Convert to fraction form
    367,025/778,115 = 778,115/x
  3. Step 3: Cross multiply
    367,025x = 778,115 × 778,115
  4. Step 4: Simplify right side
    367,025x = 605,462,953,225
  5. Step 5: Solve for x
    x = 605,462,953,225/367,025
  6. Step 6: Final answer
    x = 1,649,650.44

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.