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Finding the Third Proportional to 444.09 and 1,036.97

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Solution

The third proportional to 444.09 and 1,036.97 is: 2,421.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.09 : 1,036.97 = 1,036.97 : x
  2. Step 2: Convert to fraction form
    444.09/1,036.97 = 1,036.97/x
  3. Step 3: Cross multiply
    444.09x = 1,036.97 × 1,036.97
  4. Step 4: Simplify right side
    444.09x = 1,075,304.19
  5. Step 5: Solve for x
    x = 1,075,304.19/444.09
  6. Step 6: Final answer
    x = 2,421.35

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.