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Finding the Third Proportional to 233,896 and 492,242

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Solution

The third proportional to 233,896 and 492,242 is: 1,035,939.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,896 : 492,242 = 492,242 : x
  2. Step 2: Convert to fraction form
    233,896/492,242 = 492,242/x
  3. Step 3: Cross multiply
    233,896x = 492,242 × 492,242
  4. Step 4: Simplify right side
    233,896x = 242,302,186,564
  5. Step 5: Solve for x
    x = 242,302,186,564/233,896
  6. Step 6: Final answer
    x = 1,035,939.85

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.