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Finding the Third Proportional to 364,010 and 551,105

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Solution

The third proportional to 364,010 and 551,105 is: 834,363.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,010 : 551,105 = 551,105 : x
  2. Step 2: Convert to fraction form
    364,010/551,105 = 551,105/x
  3. Step 3: Cross multiply
    364,010x = 551,105 × 551,105
  4. Step 4: Simplify right side
    364,010x = 303,716,721,025
  5. Step 5: Solve for x
    x = 303,716,721,025/364,010
  6. Step 6: Final answer
    x = 834,363.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.