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Finding the Third Proportional to 365,112 and 531,468

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Solution

The third proportional to 365,112 and 531,468 is: 773,620.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,112 : 531,468 = 531,468 : x
  2. Step 2: Convert to fraction form
    365,112/531,468 = 531,468/x
  3. Step 3: Cross multiply
    365,112x = 531,468 × 531,468
  4. Step 4: Simplify right side
    365,112x = 282,458,235,024
  5. Step 5: Solve for x
    x = 282,458,235,024/365,112
  6. Step 6: Final answer
    x = 773,620.79

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.