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Finding the Third Proportional to 505,464.75 and 1,103,553

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Solution

The third proportional to 505,464.75 and 1,103,553 is: 2,409,325.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,464.75 : 1,103,553 = 1,103,553 : x
  2. Step 2: Convert to fraction form
    505,464.75/1,103,553 = 1,103,553/x
  3. Step 3: Cross multiply
    505,464.75x = 1,103,553 × 1,103,553
  4. Step 4: Simplify right side
    505,464.75x = 1,217,829,223,809
  5. Step 5: Solve for x
    x = 1,217,829,223,809/505,464.75
  6. Step 6: Final answer
    x = 2,409,325.72

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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.