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Finding the Third Proportional to 463,081 and 713,074

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Solution

The third proportional to 463,081 and 713,074 is: 1,098,025.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,081 : 713,074 = 713,074 : x
  2. Step 2: Convert to fraction form
    463,081/713,074 = 713,074/x
  3. Step 3: Cross multiply
    463,081x = 713,074 × 713,074
  4. Step 4: Simplify right side
    463,081x = 508,474,529,476
  5. Step 5: Solve for x
    x = 508,474,529,476/463,081
  6. Step 6: Final answer
    x = 1,098,025.03

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.