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Finding the Third Proportional to 280,888.31 and 606,668.06

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Solution

The third proportional to 280,888.31 and 606,668.06 is: 1,310,293.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,888.31 : 606,668.06 = 606,668.06 : x
  2. Step 2: Convert to fraction form
    280,888.31/606,668.06 = 606,668.06/x
  3. Step 3: Cross multiply
    280,888.31x = 606,668.06 × 606,668.06
  4. Step 4: Simplify right side
    280,888.31x = 368,046,138,057.50
  5. Step 5: Solve for x
    x = 368,046,138,057.50/280,888.31
  6. Step 6: Final answer
    x = 1,310,293.53

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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.