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Finding the Third Proportional to 331,519.50 and 709,575

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Solution

The third proportional to 331,519.50 and 709,575 is: 1,518,754.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,519.50 : 709,575 = 709,575 : x
  2. Step 2: Convert to fraction form
    331,519.50/709,575 = 709,575/x
  3. Step 3: Cross multiply
    331,519.50x = 709,575 × 709,575
  4. Step 4: Simplify right side
    331,519.50x = 503,496,680,625
  5. Step 5: Solve for x
    x = 503,496,680,625/331,519.50
  6. Step 6: Final answer
    x = 1,518,754.34

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.