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Finding the Third Proportional to 365,644 and 558,186

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Solution

The third proportional to 365,644 and 558,186 is: 852,117.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,644 : 558,186 = 558,186 : x
  2. Step 2: Convert to fraction form
    365,644/558,186 = 558,186/x
  3. Step 3: Cross multiply
    365,644x = 558,186 × 558,186
  4. Step 4: Simplify right side
    365,644x = 311,571,610,596
  5. Step 5: Solve for x
    x = 311,571,610,596/365,644
  6. Step 6: Final answer
    x = 852,117.39

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.