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Finding the Third Proportional to 601.03 and 1,426.64

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Solution

The third proportional to 601.03 and 1,426.64 is: 3,386.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.03 : 1,426.64 = 1,426.64 : x
  2. Step 2: Convert to fraction form
    601.03/1,426.64 = 1,426.64/x
  3. Step 3: Cross multiply
    601.03x = 1,426.64 × 1,426.64
  4. Step 4: Simplify right side
    601.03x = 2,035,303.47
  5. Step 5: Solve for x
    x = 2,035,303.47/601.03
  6. Step 6: Final answer
    x = 3,386.35

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.