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Finding the Third Proportional to 421,329 and 596,168

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Solution

The third proportional to 421,329 and 596,168 is: 843,559.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,329 : 596,168 = 596,168 : x
  2. Step 2: Convert to fraction form
    421,329/596,168 = 596,168/x
  3. Step 3: Cross multiply
    421,329x = 596,168 × 596,168
  4. Step 4: Simplify right side
    421,329x = 355,416,284,224
  5. Step 5: Solve for x
    x = 355,416,284,224/421,329
  6. Step 6: Final answer
    x = 843,559.98

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.