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Finding the Third Proportional to 458,794.13 and 697,911.19

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Solution

The third proportional to 458,794.13 and 697,911.19 is: 1,061,652.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,794.13 : 697,911.19 = 697,911.19 : x
  2. Step 2: Convert to fraction form
    458,794.13/697,911.19 = 697,911.19/x
  3. Step 3: Cross multiply
    458,794.13x = 697,911.19 × 697,911.19
  4. Step 4: Simplify right side
    458,794.13x = 487,080,025,637.66
  5. Step 5: Solve for x
    x = 487,080,025,637.66/458,794.13
  6. Step 6: Final answer
    x = 1,061,652.71

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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.