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Finding the Third Proportional to 280,863.50 and 601,255

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Solution

The third proportional to 280,863.50 and 601,255 is: 1,287,129.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,863.50 : 601,255 = 601,255 : x
  2. Step 2: Convert to fraction form
    280,863.50/601,255 = 601,255/x
  3. Step 3: Cross multiply
    280,863.50x = 601,255 × 601,255
  4. Step 4: Simplify right side
    280,863.50x = 361,507,575,025
  5. Step 5: Solve for x
    x = 361,507,575,025/280,863.50
  6. Step 6: Final answer
    x = 1,287,129.07

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.