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Finding the Third Proportional to 401,442.75 and 550,470.94

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Solution

The third proportional to 401,442.75 and 550,470.94 is: 754,823.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,442.75 : 550,470.94 = 550,470.94 : x
  2. Step 2: Convert to fraction form
    401,442.75/550,470.94 = 550,470.94/x
  3. Step 3: Cross multiply
    401,442.75x = 550,470.94 × 550,470.94
  4. Step 4: Simplify right side
    401,442.75x = 303,018,253,032.13
  5. Step 5: Solve for x
    x = 303,018,253,032.13/401,442.75
  6. Step 6: Final answer
    x = 754,823.08

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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.