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Finding the Third Proportional to 295,260.19 and 610,201.69

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Solution

The third proportional to 295,260.19 and 610,201.69 is: 1,261,077.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,260.19 : 610,201.69 = 610,201.69 : x
  2. Step 2: Convert to fraction form
    295,260.19/610,201.69 = 610,201.69/x
  3. Step 3: Cross multiply
    295,260.19x = 610,201.69 × 610,201.69
  4. Step 4: Simplify right side
    295,260.19x = 372,346,099,427.85
  5. Step 5: Solve for x
    x = 372,346,099,427.85/295,260.19
  6. Step 6: Final answer
    x = 1,261,077.91

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.