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Finding the Third Proportional to 601,596 and 1,284,376.50

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Solution

The third proportional to 601,596 and 1,284,376.50 is: 2,742,077.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,596 : 1,284,376.50 = 1,284,376.50 : x
  2. Step 2: Convert to fraction form
    601,596/1,284,376.50 = 1,284,376.50/x
  3. Step 3: Cross multiply
    601,596x = 1,284,376.50 × 1,284,376.50
  4. Step 4: Simplify right side
    601,596x = 1,649,622,993,752.25
  5. Step 5: Solve for x
    x = 1,649,622,993,752.25/601,596
  6. Step 6: Final answer
    x = 2,742,077.73

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.