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Finding the Third Proportional to 233,846 and 505,058

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Solution

The third proportional to 233,846 and 505,058 is: 1,090,818.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,846 : 505,058 = 505,058 : x
  2. Step 2: Convert to fraction form
    233,846/505,058 = 505,058/x
  3. Step 3: Cross multiply
    233,846x = 505,058 × 505,058
  4. Step 4: Simplify right side
    233,846x = 255,083,583,364
  5. Step 5: Solve for x
    x = 255,083,583,364/233,846
  6. Step 6: Final answer
    x = 1,090,818.67

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Why These Related Problems?

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