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Finding the Third Proportional to 439,590 and 685,066

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Solution

The third proportional to 439,590 and 685,066 is: 1,067,620.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,590 : 685,066 = 685,066 : x
  2. Step 2: Convert to fraction form
    439,590/685,066 = 685,066/x
  3. Step 3: Cross multiply
    439,590x = 685,066 × 685,066
  4. Step 4: Simplify right side
    439,590x = 469,315,424,356
  5. Step 5: Solve for x
    x = 469,315,424,356/439,590
  6. Step 6: Final answer
    x = 1,067,620.79

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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.