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Finding the Third Proportional to 327,030 and 701,346

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Solution

The third proportional to 327,030 and 701,346 is: 1,504,101.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,030 : 701,346 = 701,346 : x
  2. Step 2: Convert to fraction form
    327,030/701,346 = 701,346/x
  3. Step 3: Cross multiply
    327,030x = 701,346 × 701,346
  4. Step 4: Simplify right side
    327,030x = 491,886,211,716
  5. Step 5: Solve for x
    x = 491,886,211,716/327,030
  6. Step 6: Final answer
    x = 1,504,101.19

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.