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Finding the Third Proportional to 366,743 and 561,011

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Solution

The third proportional to 366,743 and 561,011 is: 858,185.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,743 : 561,011 = 561,011 : x
  2. Step 2: Convert to fraction form
    366,743/561,011 = 561,011/x
  3. Step 3: Cross multiply
    366,743x = 561,011 × 561,011
  4. Step 4: Simplify right side
    366,743x = 314,733,342,121
  5. Step 5: Solve for x
    x = 314,733,342,121/366,743
  6. Step 6: Final answer
    x = 858,185.00

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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.