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Finding the Third Proportional to 368,950 and 556,004

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Solution

The third proportional to 368,950 and 556,004 is: 837,892.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,950 : 556,004 = 556,004 : x
  2. Step 2: Convert to fraction form
    368,950/556,004 = 556,004/x
  3. Step 3: Cross multiply
    368,950x = 556,004 × 556,004
  4. Step 4: Simplify right side
    368,950x = 309,140,448,016
  5. Step 5: Solve for x
    x = 309,140,448,016/368,950
  6. Step 6: Final answer
    x = 837,892.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.