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Finding the Third Proportional to 326,614.50 and 666,348

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Solution

The third proportional to 326,614.50 and 666,348 is: 1,359,460.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,614.50 : 666,348 = 666,348 : x
  2. Step 2: Convert to fraction form
    326,614.50/666,348 = 666,348/x
  3. Step 3: Cross multiply
    326,614.50x = 666,348 × 666,348
  4. Step 4: Simplify right side
    326,614.50x = 444,019,657,104
  5. Step 5: Solve for x
    x = 444,019,657,104/326,614.50
  6. Step 6: Final answer
    x = 1,359,460.95

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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.