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Finding the Third Proportional to 327,923 and 716,598

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Solution

The third proportional to 327,923 and 716,598 is: 1,565,955.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,923 : 716,598 = 716,598 : x
  2. Step 2: Convert to fraction form
    327,923/716,598 = 716,598/x
  3. Step 3: Cross multiply
    327,923x = 716,598 × 716,598
  4. Step 4: Simplify right side
    327,923x = 513,512,693,604
  5. Step 5: Solve for x
    x = 513,512,693,604/327,923
  6. Step 6: Final answer
    x = 1,565,955.10

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.