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Finding the Third Proportional to 367,065 and 534,619

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Solution

The third proportional to 367,065 and 534,619 is: 778,656.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,065 : 534,619 = 534,619 : x
  2. Step 2: Convert to fraction form
    367,065/534,619 = 534,619/x
  3. Step 3: Cross multiply
    367,065x = 534,619 × 534,619
  4. Step 4: Simplify right side
    367,065x = 285,817,475,161
  5. Step 5: Solve for x
    x = 285,817,475,161/367,065
  6. Step 6: Final answer
    x = 778,656.30

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.