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Finding the Third Proportional to 326,108 and 706,495

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Solution

The third proportional to 326,108 and 706,495 is: 1,530,582.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,108 : 706,495 = 706,495 : x
  2. Step 2: Convert to fraction form
    326,108/706,495 = 706,495/x
  3. Step 3: Cross multiply
    326,108x = 706,495 × 706,495
  4. Step 4: Simplify right side
    326,108x = 499,135,185,025
  5. Step 5: Solve for x
    x = 499,135,185,025/326,108
  6. Step 6: Final answer
    x = 1,530,582.46

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.