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Finding the Third Proportional to 437,804 and 928,324

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Solution

The third proportional to 437,804 and 928,324 is: 1,968,427.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,804 : 928,324 = 928,324 : x
  2. Step 2: Convert to fraction form
    437,804/928,324 = 928,324/x
  3. Step 3: Cross multiply
    437,804x = 928,324 × 928,324
  4. Step 4: Simplify right side
    437,804x = 861,785,448,976
  5. Step 5: Solve for x
    x = 861,785,448,976/437,804
  6. Step 6: Final answer
    x = 1,968,427.54

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.