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Finding the Third Proportional to 372,133 and 775,754

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Solution

The third proportional to 372,133 and 775,754 is: 1,617,148.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,133 : 775,754 = 775,754 : x
  2. Step 2: Convert to fraction form
    372,133/775,754 = 775,754/x
  3. Step 3: Cross multiply
    372,133x = 775,754 × 775,754
  4. Step 4: Simplify right side
    372,133x = 601,794,268,516
  5. Step 5: Solve for x
    x = 601,794,268,516/372,133
  6. Step 6: Final answer
    x = 1,617,148.35

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.