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Finding the Third Proportional to 465.19 and 1,040.06

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Solution

The third proportional to 465.19 and 1,040.06 is: 2,325.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.19 : 1,040.06 = 1,040.06 : x
  2. Step 2: Convert to fraction form
    465.19/1,040.06 = 1,040.06/x
  3. Step 3: Cross multiply
    465.19x = 1,040.06 × 1,040.06
  4. Step 4: Simplify right side
    465.19x = 1,081,730.00
  5. Step 5: Solve for x
    x = 1,081,730.00/465.19
  6. Step 6: Final answer
    x = 2,325.36

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.