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Finding the Third Proportional to 368,954 and 556,010

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Solution

The third proportional to 368,954 and 556,010 is: 837,901.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,954 : 556,010 = 556,010 : x
  2. Step 2: Convert to fraction form
    368,954/556,010 = 556,010/x
  3. Step 3: Cross multiply
    368,954x = 556,010 × 556,010
  4. Step 4: Simplify right side
    368,954x = 309,147,120,100
  5. Step 5: Solve for x
    x = 309,147,120,100/368,954
  6. Step 6: Final answer
    x = 837,901.53

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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.