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Finding the Third Proportional to 315,673 and 675,754

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Solution

The third proportional to 315,673 and 675,754 is: 1,446,571.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,673 : 675,754 = 675,754 : x
  2. Step 2: Convert to fraction form
    315,673/675,754 = 675,754/x
  3. Step 3: Cross multiply
    315,673x = 675,754 × 675,754
  4. Step 4: Simplify right side
    315,673x = 456,643,468,516
  5. Step 5: Solve for x
    x = 456,643,468,516/315,673
  6. Step 6: Final answer
    x = 1,446,571.19

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.