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Finding the Third Proportional to 351,276 and 757,847

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Solution

The third proportional to 351,276 and 757,847 is: 1,634,988.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,276 : 757,847 = 757,847 : x
  2. Step 2: Convert to fraction form
    351,276/757,847 = 757,847/x
  3. Step 3: Cross multiply
    351,276x = 757,847 × 757,847
  4. Step 4: Simplify right side
    351,276x = 574,332,075,409
  5. Step 5: Solve for x
    x = 574,332,075,409/351,276
  6. Step 6: Final answer
    x = 1,634,988.09

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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.