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Finding the Third Proportional to 236,463 and 525,414

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Solution

The third proportional to 236,463 and 525,414 is: 1,167,454.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,463 : 525,414 = 525,414 : x
  2. Step 2: Convert to fraction form
    236,463/525,414 = 525,414/x
  3. Step 3: Cross multiply
    236,463x = 525,414 × 525,414
  4. Step 4: Simplify right side
    236,463x = 276,059,871,396
  5. Step 5: Solve for x
    x = 276,059,871,396/236,463
  6. Step 6: Final answer
    x = 1,167,454.83

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.