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Finding the Third Proportional to 359,608 and 518,004

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Solution

The third proportional to 359,608 and 518,004 is: 746,168.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,608 : 518,004 = 518,004 : x
  2. Step 2: Convert to fraction form
    359,608/518,004 = 518,004/x
  3. Step 3: Cross multiply
    359,608x = 518,004 × 518,004
  4. Step 4: Simplify right side
    359,608x = 268,328,144,016
  5. Step 5: Solve for x
    x = 268,328,144,016/359,608
  6. Step 6: Final answer
    x = 746,168.45

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.