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Finding the Third Proportional to 236,462 and 514,396

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Solution

The third proportional to 236,462 and 514,396 is: 1,119,009.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,462 : 514,396 = 514,396 : x
  2. Step 2: Convert to fraction form
    236,462/514,396 = 514,396/x
  3. Step 3: Cross multiply
    236,462x = 514,396 × 514,396
  4. Step 4: Simplify right side
    236,462x = 264,603,244,816
  5. Step 5: Solve for x
    x = 264,603,244,816/236,462
  6. Step 6: Final answer
    x = 1,119,009.59

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.