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Finding the Third Proportional to 331,221 and 525,319

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Solution

The third proportional to 331,221 and 525,319 is: 833,159.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,221 : 525,319 = 525,319 : x
  2. Step 2: Convert to fraction form
    331,221/525,319 = 525,319/x
  3. Step 3: Cross multiply
    331,221x = 525,319 × 525,319
  4. Step 4: Simplify right side
    331,221x = 275,960,051,761
  5. Step 5: Solve for x
    x = 275,960,051,761/331,221
  6. Step 6: Final answer
    x = 833,159.89

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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.