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Finding the Third Proportional to 673,742 and 984,324

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Solution

The third proportional to 673,742 and 984,324 is: 1,438,078.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,742 : 984,324 = 984,324 : x
  2. Step 2: Convert to fraction form
    673,742/984,324 = 984,324/x
  3. Step 3: Cross multiply
    673,742x = 984,324 × 984,324
  4. Step 4: Simplify right side
    673,742x = 968,893,736,976
  5. Step 5: Solve for x
    x = 968,893,736,976/673,742
  6. Step 6: Final answer
    x = 1,438,078.28

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.