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Finding the Third Proportional to 349,876 and 556,994

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Solution

The third proportional to 349,876 and 556,994 is: 886,720.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,876 : 556,994 = 556,994 : x
  2. Step 2: Convert to fraction form
    349,876/556,994 = 556,994/x
  3. Step 3: Cross multiply
    349,876x = 556,994 × 556,994
  4. Step 4: Simplify right side
    349,876x = 310,242,316,036
  5. Step 5: Solve for x
    x = 310,242,316,036/349,876
  6. Step 6: Final answer
    x = 886,720.77

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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.