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Finding the Third Proportional to 236,518 and 525,522

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Solution

The third proportional to 236,518 and 525,522 is: 1,167,663.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,518 : 525,522 = 525,522 : x
  2. Step 2: Convert to fraction form
    236,518/525,522 = 525,522/x
  3. Step 3: Cross multiply
    236,518x = 525,522 × 525,522
  4. Step 4: Simplify right side
    236,518x = 276,173,372,484
  5. Step 5: Solve for x
    x = 276,173,372,484/236,518
  6. Step 6: Final answer
    x = 1,167,663.23

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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.