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Finding the Third Proportional to 501,192 and 775,716

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Solution

The third proportional to 501,192 and 775,716 is: 1,200,608.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,192 : 775,716 = 775,716 : x
  2. Step 2: Convert to fraction form
    501,192/775,716 = 775,716/x
  3. Step 3: Cross multiply
    501,192x = 775,716 × 775,716
  4. Step 4: Simplify right side
    501,192x = 601,735,312,656
  5. Step 5: Solve for x
    x = 601,735,312,656/501,192
  6. Step 6: Final answer
    x = 1,200,608.37

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.