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Finding the Third Proportional to 280,202 and 599,770

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Solution

The third proportional to 280,202 and 599,770 is: 1,283,802.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,202 : 599,770 = 599,770 : x
  2. Step 2: Convert to fraction form
    280,202/599,770 = 599,770/x
  3. Step 3: Cross multiply
    280,202x = 599,770 × 599,770
  4. Step 4: Simplify right side
    280,202x = 359,724,052,900
  5. Step 5: Solve for x
    x = 359,724,052,900/280,202
  6. Step 6: Final answer
    x = 1,283,802.59

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.