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Finding the Third Proportional to 463,079 and 713,071

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Solution

The third proportional to 463,079 and 713,071 is: 1,098,020.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,079 : 713,071 = 713,071 : x
  2. Step 2: Convert to fraction form
    463,079/713,071 = 713,071/x
  3. Step 3: Cross multiply
    463,079x = 713,071 × 713,071
  4. Step 4: Simplify right side
    463,079x = 508,470,251,041
  5. Step 5: Solve for x
    x = 508,470,251,041/463,079
  6. Step 6: Final answer
    x = 1,098,020.53

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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.