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Finding the Third Proportional to 262,392.75 and 417,722.06

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Solution

The third proportional to 262,392.75 and 417,722.06 is: 665,002.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,392.75 : 417,722.06 = 417,722.06 : x
  2. Step 2: Convert to fraction form
    262,392.75/417,722.06 = 417,722.06/x
  3. Step 3: Cross multiply
    262,392.75x = 417,722.06 × 417,722.06
  4. Step 4: Simplify right side
    262,392.75x = 174,491,721,499.25
  5. Step 5: Solve for x
    x = 174,491,721,499.25/262,392.75
  6. Step 6: Final answer
    x = 665,002.07

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.