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Finding the Third Proportional to 470,067 and 685,413

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Solution

The third proportional to 470,067 and 685,413 is: 999,412.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,067 : 685,413 = 685,413 : x
  2. Step 2: Convert to fraction form
    470,067/685,413 = 685,413/x
  3. Step 3: Cross multiply
    470,067x = 685,413 × 685,413
  4. Step 4: Simplify right side
    470,067x = 469,790,980,569
  5. Step 5: Solve for x
    x = 469,790,980,569/470,067
  6. Step 6: Final answer
    x = 999,412.81

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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.