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Finding the Third Proportional to 309,106 and 677,324

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Solution

The third proportional to 309,106 and 677,324 is: 1,484,176.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,106 : 677,324 = 677,324 : x
  2. Step 2: Convert to fraction form
    309,106/677,324 = 677,324/x
  3. Step 3: Cross multiply
    309,106x = 677,324 × 677,324
  4. Step 4: Simplify right side
    309,106x = 458,767,800,976
  5. Step 5: Solve for x
    x = 458,767,800,976/309,106
  6. Step 6: Final answer
    x = 1,484,176.31

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.