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Finding the Third Proportional to 349,857 and 556,962.75

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Solution

The third proportional to 349,857 and 556,962.75 is: 886,669.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,857 : 556,962.75 = 556,962.75 : x
  2. Step 2: Convert to fraction form
    349,857/556,962.75 = 556,962.75/x
  3. Step 3: Cross multiply
    349,857x = 556,962.75 × 556,962.75
  4. Step 4: Simplify right side
    349,857x = 310,207,504,887.56
  5. Step 5: Solve for x
    x = 310,207,504,887.56/349,857
  6. Step 6: Final answer
    x = 886,669.42

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.