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Finding the Third Proportional to 236,548 and 512,504

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Solution

The third proportional to 236,548 and 512,504 is: 1,110,389.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,548 : 512,504 = 512,504 : x
  2. Step 2: Convert to fraction form
    236,548/512,504 = 512,504/x
  3. Step 3: Cross multiply
    236,548x = 512,504 × 512,504
  4. Step 4: Simplify right side
    236,548x = 262,660,350,016
  5. Step 5: Solve for x
    x = 262,660,350,016/236,548
  6. Step 6: Final answer
    x = 1,110,389.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.