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Finding the Third Proportional to 293,344.50 and 706,446

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Solution

The third proportional to 293,344.50 and 706,446 is: 1,701,296.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,344.50 : 706,446 = 706,446 : x
  2. Step 2: Convert to fraction form
    293,344.50/706,446 = 706,446/x
  3. Step 3: Cross multiply
    293,344.50x = 706,446 × 706,446
  4. Step 4: Simplify right side
    293,344.50x = 499,065,950,916
  5. Step 5: Solve for x
    x = 499,065,950,916/293,344.50
  6. Step 6: Final answer
    x = 1,701,296.43

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.