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Finding the Third Proportional to 265,009.50 and 580,485

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Solution

The third proportional to 265,009.50 and 580,485 is: 1,271,512.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,009.50 : 580,485 = 580,485 : x
  2. Step 2: Convert to fraction form
    265,009.50/580,485 = 580,485/x
  3. Step 3: Cross multiply
    265,009.50x = 580,485 × 580,485
  4. Step 4: Simplify right side
    265,009.50x = 336,962,835,225
  5. Step 5: Solve for x
    x = 336,962,835,225/265,009.50
  6. Step 6: Final answer
    x = 1,271,512.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.