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Finding the Third Proportional to 331,199 and 525,301

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Solution

The third proportional to 331,199 and 525,301 is: 833,158.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,199 : 525,301 = 525,301 : x
  2. Step 2: Convert to fraction form
    331,199/525,301 = 525,301/x
  3. Step 3: Cross multiply
    331,199x = 525,301 × 525,301
  4. Step 4: Simplify right side
    331,199x = 275,941,140,601
  5. Step 5: Solve for x
    x = 275,941,140,601/331,199
  6. Step 6: Final answer
    x = 833,158.13

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.