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Finding the Third Proportional to 187,764.75 and 417,509.44

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Solution

The third proportional to 187,764.75 and 417,509.44 is: 928,364.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,764.75 : 417,509.44 = 417,509.44 : x
  2. Step 2: Convert to fraction form
    187,764.75/417,509.44 = 417,509.44/x
  3. Step 3: Cross multiply
    187,764.75x = 417,509.44 × 417,509.44
  4. Step 4: Simplify right side
    187,764.75x = 174,314,130,401.57
  5. Step 5: Solve for x
    x = 174,314,130,401.57/187,764.75
  6. Step 6: Final answer
    x = 928,364.51

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.