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Finding the Third Proportional to 326,173.50 and 661,518

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Solution

The third proportional to 326,173.50 and 661,518 is: 1,341,635.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,173.50 : 661,518 = 661,518 : x
  2. Step 2: Convert to fraction form
    326,173.50/661,518 = 661,518/x
  3. Step 3: Cross multiply
    326,173.50x = 661,518 × 661,518
  4. Step 4: Simplify right side
    326,173.50x = 437,606,064,324
  5. Step 5: Solve for x
    x = 437,606,064,324/326,173.50
  6. Step 6: Final answer
    x = 1,341,635.86

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.