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Finding the Third Proportional to 236,417 and 525,323

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Solution

The third proportional to 236,417 and 525,323 is: 1,167,277.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,417 : 525,323 = 525,323 : x
  2. Step 2: Convert to fraction form
    236,417/525,323 = 525,323/x
  3. Step 3: Cross multiply
    236,417x = 525,323 × 525,323
  4. Step 4: Simplify right side
    236,417x = 275,964,254,329
  5. Step 5: Solve for x
    x = 275,964,254,329/236,417
  6. Step 6: Final answer
    x = 1,167,277.54

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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.