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Finding the Third Proportional to 358,936 and 755,054

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Solution

The third proportional to 358,936 and 755,054 is: 1,588,323.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,936 : 755,054 = 755,054 : x
  2. Step 2: Convert to fraction form
    358,936/755,054 = 755,054/x
  3. Step 3: Cross multiply
    358,936x = 755,054 × 755,054
  4. Step 4: Simplify right side
    358,936x = 570,106,542,916
  5. Step 5: Solve for x
    x = 570,106,542,916/358,936
  6. Step 6: Final answer
    x = 1,588,323.66

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.