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Finding the Third Proportional to 349,868 and 556,980

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Solution

The third proportional to 349,868 and 556,980 is: 886,696.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,868 : 556,980 = 556,980 : x
  2. Step 2: Convert to fraction form
    349,868/556,980 = 556,980/x
  3. Step 3: Cross multiply
    349,868x = 556,980 × 556,980
  4. Step 4: Simplify right side
    349,868x = 310,226,720,400
  5. Step 5: Solve for x
    x = 310,226,720,400/349,868
  6. Step 6: Final answer
    x = 886,696.47

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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.