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Finding the Third Proportional to 408,537 and 599,670

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Solution

The third proportional to 408,537 and 599,670 is: 880,224.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,537 : 599,670 = 599,670 : x
  2. Step 2: Convert to fraction form
    408,537/599,670 = 599,670/x
  3. Step 3: Cross multiply
    408,537x = 599,670 × 599,670
  4. Step 4: Simplify right side
    408,537x = 359,604,108,900
  5. Step 5: Solve for x
    x = 359,604,108,900/408,537
  6. Step 6: Final answer
    x = 880,224.09

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.