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Finding the Third Proportional to 236,260 and 505,304

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Solution

The third proportional to 236,260 and 505,304 is: 1,080,725.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,260 : 505,304 = 505,304 : x
  2. Step 2: Convert to fraction form
    236,260/505,304 = 505,304/x
  3. Step 3: Cross multiply
    236,260x = 505,304 × 505,304
  4. Step 4: Simplify right side
    236,260x = 255,332,132,416
  5. Step 5: Solve for x
    x = 255,332,132,416/236,260
  6. Step 6: Final answer
    x = 1,080,725.19

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.