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Finding the Third Proportional to 236,434 and 525,348

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Solution

The third proportional to 236,434 and 525,348 is: 1,167,304.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,434 : 525,348 = 525,348 : x
  2. Step 2: Convert to fraction form
    236,434/525,348 = 525,348/x
  3. Step 3: Cross multiply
    236,434x = 525,348 × 525,348
  4. Step 4: Simplify right side
    236,434x = 275,990,521,104
  5. Step 5: Solve for x
    x = 275,990,521,104/236,434
  6. Step 6: Final answer
    x = 1,167,304.71

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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.