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Finding the Third Proportional to 505,460.25 and 1,103,544

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Solution

The third proportional to 505,460.25 and 1,103,544 is: 2,409,307.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,460.25 : 1,103,544 = 1,103,544 : x
  2. Step 2: Convert to fraction form
    505,460.25/1,103,544 = 1,103,544/x
  3. Step 3: Cross multiply
    505,460.25x = 1,103,544 × 1,103,544
  4. Step 4: Simplify right side
    505,460.25x = 1,217,809,359,936
  5. Step 5: Solve for x
    x = 1,217,809,359,936/505,460.25
  6. Step 6: Final answer
    x = 2,409,307.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.