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Finding the Third Proportional to 351,275 and 757,846

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Solution

The third proportional to 351,275 and 757,846 is: 1,634,988.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,275 : 757,846 = 757,846 : x
  2. Step 2: Convert to fraction form
    351,275/757,846 = 757,846/x
  3. Step 3: Cross multiply
    351,275x = 757,846 × 757,846
  4. Step 4: Simplify right side
    351,275x = 574,330,559,716
  5. Step 5: Solve for x
    x = 574,330,559,716/351,275
  6. Step 6: Final answer
    x = 1,634,988.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.