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Finding the Third Proportional to 233,039 and 404,558

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Solution

The third proportional to 233,039 and 404,558 is: 702,316.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,039 : 404,558 = 404,558 : x
  2. Step 2: Convert to fraction form
    233,039/404,558 = 404,558/x
  3. Step 3: Cross multiply
    233,039x = 404,558 × 404,558
  4. Step 4: Simplify right side
    233,039x = 163,667,175,364
  5. Step 5: Solve for x
    x = 163,667,175,364/233,039
  6. Step 6: Final answer
    x = 702,316.67

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Why These Related Problems?

These problems maintain the same ratio (1.74) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.