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Finding the Third Proportional to 327,271 and 706,179

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Solution

The third proportional to 327,271 and 706,179 is: 1,523,779.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,271 : 706,179 = 706,179 : x
  2. Step 2: Convert to fraction form
    327,271/706,179 = 706,179/x
  3. Step 3: Cross multiply
    327,271x = 706,179 × 706,179
  4. Step 4: Simplify right side
    327,271x = 498,688,780,041
  5. Step 5: Solve for x
    x = 498,688,780,041/327,271
  6. Step 6: Final answer
    x = 1,523,779.31

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.