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Finding the Third Proportional to 327,260 and 706,090

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Solution

The third proportional to 327,260 and 706,090 is: 1,523,446.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,260 : 706,090 = 706,090 : x
  2. Step 2: Convert to fraction form
    327,260/706,090 = 706,090/x
  3. Step 3: Cross multiply
    327,260x = 706,090 × 706,090
  4. Step 4: Simplify right side
    327,260x = 498,563,088,100
  5. Step 5: Solve for x
    x = 498,563,088,100/327,260
  6. Step 6: Final answer
    x = 1,523,446.46

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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.