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Finding the Third Proportional to 396,078 and 596,014

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Solution

The third proportional to 396,078 and 596,014 is: 896,875.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,078 : 596,014 = 596,014 : x
  2. Step 2: Convert to fraction form
    396,078/596,014 = 596,014/x
  3. Step 3: Cross multiply
    396,078x = 596,014 × 596,014
  4. Step 4: Simplify right side
    396,078x = 355,232,688,196
  5. Step 5: Solve for x
    x = 355,232,688,196/396,078
  6. Step 6: Final answer
    x = 896,875.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.