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Finding the Third Proportional to 401,333 and 550,329.75

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Solution

The third proportional to 401,333 and 550,329.75 is: 754,642.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,333 : 550,329.75 = 550,329.75 : x
  2. Step 2: Convert to fraction form
    401,333/550,329.75 = 550,329.75/x
  3. Step 3: Cross multiply
    401,333x = 550,329.75 × 550,329.75
  4. Step 4: Simplify right side
    401,333x = 302,862,833,735.06
  5. Step 5: Solve for x
    x = 302,862,833,735.06/401,333
  6. Step 6: Final answer
    x = 754,642.24

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.