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Finding the Third Proportional to 259,980 and 562,604

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Solution

The third proportional to 259,980 and 562,604 is: 1,217,490.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,980 : 562,604 = 562,604 : x
  2. Step 2: Convert to fraction form
    259,980/562,604 = 562,604/x
  3. Step 3: Cross multiply
    259,980x = 562,604 × 562,604
  4. Step 4: Simplify right side
    259,980x = 316,523,260,816
  5. Step 5: Solve for x
    x = 316,523,260,816/259,980
  6. Step 6: Final answer
    x = 1,217,490.81

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.