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Finding the Third Proportional to 458,802 and 697,923

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Solution

The third proportional to 458,802 and 697,923 is: 1,061,670.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,802 : 697,923 = 697,923 : x
  2. Step 2: Convert to fraction form
    458,802/697,923 = 697,923/x
  3. Step 3: Cross multiply
    458,802x = 697,923 × 697,923
  4. Step 4: Simplify right side
    458,802x = 487,096,513,929
  5. Step 5: Solve for x
    x = 487,096,513,929/458,802
  6. Step 6: Final answer
    x = 1,061,670.42

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.