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Finding the Third Proportional to 285,052 and 602,144

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Solution

The third proportional to 285,052 and 602,144 is: 1,271,969.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,052 : 602,144 = 602,144 : x
  2. Step 2: Convert to fraction form
    285,052/602,144 = 602,144/x
  3. Step 3: Cross multiply
    285,052x = 602,144 × 602,144
  4. Step 4: Simplify right side
    285,052x = 362,577,396,736
  5. Step 5: Solve for x
    x = 362,577,396,736/285,052
  6. Step 6: Final answer
    x = 1,271,969.31

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.