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Finding the Third Proportional to 236,432 and 525,344

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Solution

The third proportional to 236,432 and 525,344 is: 1,167,296.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,432 : 525,344 = 525,344 : x
  2. Step 2: Convert to fraction form
    236,432/525,344 = 525,344/x
  3. Step 3: Cross multiply
    236,432x = 525,344 × 525,344
  4. Step 4: Simplify right side
    236,432x = 275,986,318,336
  5. Step 5: Solve for x
    x = 275,986,318,336/236,432
  6. Step 6: Final answer
    x = 1,167,296.81

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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.