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Finding the Third Proportional to 364,568 and 534,538

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Solution

The third proportional to 364,568 and 534,538 is: 783,751.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,568 : 534,538 = 534,538 : x
  2. Step 2: Convert to fraction form
    364,568/534,538 = 534,538/x
  3. Step 3: Cross multiply
    364,568x = 534,538 × 534,538
  4. Step 4: Simplify right side
    364,568x = 285,730,873,444
  5. Step 5: Solve for x
    x = 285,730,873,444/364,568
  6. Step 6: Final answer
    x = 783,751.93

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.