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Finding the Third Proportional to 369,699.50 and 595,212

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Solution

The third proportional to 369,699.50 and 595,212 is: 958,284.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,699.50 : 595,212 = 595,212 : x
  2. Step 2: Convert to fraction form
    369,699.50/595,212 = 595,212/x
  3. Step 3: Cross multiply
    369,699.50x = 595,212 × 595,212
  4. Step 4: Simplify right side
    369,699.50x = 354,277,324,944
  5. Step 5: Solve for x
    x = 354,277,324,944/369,699.50
  6. Step 6: Final answer
    x = 958,284.57

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.