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Finding the Third Proportional to 349,893 and 557,019

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Solution

The third proportional to 349,893 and 557,019 is: 886,757.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,893 : 557,019 = 557,019 : x
  2. Step 2: Convert to fraction form
    349,893/557,019 = 557,019/x
  3. Step 3: Cross multiply
    349,893x = 557,019 × 557,019
  4. Step 4: Simplify right side
    349,893x = 310,270,166,361
  5. Step 5: Solve for x
    x = 310,270,166,361/349,893
  6. Step 6: Final answer
    x = 886,757.28

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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.