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Finding the Third Proportional to 358,658 and 757,252

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Solution

The third proportional to 358,658 and 757,252 is: 1,598,822.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,658 : 757,252 = 757,252 : x
  2. Step 2: Convert to fraction form
    358,658/757,252 = 757,252/x
  3. Step 3: Cross multiply
    358,658x = 757,252 × 757,252
  4. Step 4: Simplify right side
    358,658x = 573,430,591,504
  5. Step 5: Solve for x
    x = 573,430,591,504/358,658
  6. Step 6: Final answer
    x = 1,598,822.81

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.