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Finding the Third Proportional to 505,606 and 789,514

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Solution

The third proportional to 505,606 and 789,514 is: 1,232,842.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,606 : 789,514 = 789,514 : x
  2. Step 2: Convert to fraction form
    505,606/789,514 = 789,514/x
  3. Step 3: Cross multiply
    505,606x = 789,514 × 789,514
  4. Step 4: Simplify right side
    505,606x = 623,332,356,196
  5. Step 5: Solve for x
    x = 623,332,356,196/505,606
  6. Step 6: Final answer
    x = 1,232,842.09

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.