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Finding the Third Proportional to 351,857.25 and 753,536.25

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Solution

The third proportional to 351,857.25 and 753,536.25 is: 1,613,770.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,857.25 : 753,536.25 = 753,536.25 : x
  2. Step 2: Convert to fraction form
    351,857.25/753,536.25 = 753,536.25/x
  3. Step 3: Cross multiply
    351,857.25x = 753,536.25 × 753,536.25
  4. Step 4: Simplify right side
    351,857.25x = 567,816,880,064.06
  5. Step 5: Solve for x
    x = 567,816,880,064.06/351,857.25
  6. Step 6: Final answer
    x = 1,613,770.58

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.