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Finding the Third Proportional to 369,812 and 757,148

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Solution

The third proportional to 369,812 and 757,148 is: 1,550,174.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,812 : 757,148 = 757,148 : x
  2. Step 2: Convert to fraction form
    369,812/757,148 = 757,148/x
  3. Step 3: Cross multiply
    369,812x = 757,148 × 757,148
  4. Step 4: Simplify right side
    369,812x = 573,273,093,904
  5. Step 5: Solve for x
    x = 573,273,093,904/369,812
  6. Step 6: Final answer
    x = 1,550,174.40

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.