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Finding the Third Proportional to 411,190 and 599,283

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Solution

The third proportional to 411,190 and 599,283 is: 873,416.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,190 : 599,283 = 599,283 : x
  2. Step 2: Convert to fraction form
    411,190/599,283 = 599,283/x
  3. Step 3: Cross multiply
    411,190x = 599,283 × 599,283
  4. Step 4: Simplify right side
    411,190x = 359,140,114,089
  5. Step 5: Solve for x
    x = 359,140,114,089/411,190
  6. Step 6: Final answer
    x = 873,416.46

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.