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Finding the Third Proportional to 926.06 and 1,235.06

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Solution

The third proportional to 926.06 and 1,235.06 is: 1,647.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.06 : 1,235.06 = 1,235.06 : x
  2. Step 2: Convert to fraction form
    926.06/1,235.06 = 1,235.06/x
  3. Step 3: Cross multiply
    926.06x = 1,235.06 × 1,235.06
  4. Step 4: Simplify right side
    926.06x = 1,525,379.38
  5. Step 5: Solve for x
    x = 1,525,379.38/926.06
  6. Step 6: Final answer
    x = 1,647.17

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.