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Finding the Third Proportional to 259,012 and 562,300

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Solution

The third proportional to 259,012 and 562,300 is: 1,220,720.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,012 : 562,300 = 562,300 : x
  2. Step 2: Convert to fraction form
    259,012/562,300 = 562,300/x
  3. Step 3: Cross multiply
    259,012x = 562,300 × 562,300
  4. Step 4: Simplify right side
    259,012x = 316,181,290,000
  5. Step 5: Solve for x
    x = 316,181,290,000/259,012
  6. Step 6: Final answer
    x = 1,220,720.62

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.