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Finding the Third Proportional to 601.80 and 1,300.43

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Solution

The third proportional to 601.80 and 1,300.43 is: 2,810.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.80 : 1,300.43 = 1,300.43 : x
  2. Step 2: Convert to fraction form
    601.80/1,300.43 = 1,300.43/x
  3. Step 3: Cross multiply
    601.80x = 1,300.43 × 1,300.43
  4. Step 4: Simplify right side
    601.80x = 1,691,117.37
  5. Step 5: Solve for x
    x = 1,691,117.37/601.80
  6. Step 6: Final answer
    x = 2,810.08

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