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Finding the Third Proportional to 326,602.13 and 666,325.69

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Solution

The third proportional to 326,602.13 and 666,325.69 is: 1,359,421.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,602.13 : 666,325.69 = 666,325.69 : x
  2. Step 2: Convert to fraction form
    326,602.13/666,325.69 = 666,325.69/x
  3. Step 3: Cross multiply
    326,602.13x = 666,325.69 × 666,325.69
  4. Step 4: Simplify right side
    326,602.13x = 443,989,921,822.35
  5. Step 5: Solve for x
    x = 443,989,921,822.35/326,602.13
  6. Step 6: Final answer
    x = 1,359,421.41

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.