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Finding the Third Proportional to 280,889.25 and 606,670.50

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Solution

The third proportional to 280,889.25 and 606,670.50 is: 1,310,299.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,889.25 : 606,670.50 = 606,670.50 : x
  2. Step 2: Convert to fraction form
    280,889.25/606,670.50 = 606,670.50/x
  3. Step 3: Cross multiply
    280,889.25x = 606,670.50 × 606,670.50
  4. Step 4: Simplify right side
    280,889.25x = 368,049,095,570.25
  5. Step 5: Solve for x
    x = 368,049,095,570.25/280,889.25
  6. Step 6: Final answer
    x = 1,310,299.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.