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Finding the Third Proportional to 505,564 and 1,085,485

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Solution

The third proportional to 505,564 and 1,085,485 is: 2,330,620.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,564 : 1,085,485 = 1,085,485 : x
  2. Step 2: Convert to fraction form
    505,564/1,085,485 = 1,085,485/x
  3. Step 3: Cross multiply
    505,564x = 1,085,485 × 1,085,485
  4. Step 4: Simplify right side
    505,564x = 1,178,277,685,225
  5. Step 5: Solve for x
    x = 1,178,277,685,225/505,564
  6. Step 6: Final answer
    x = 2,330,620.23

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.