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Finding the Third Proportional to 280,962 and 602,120.25

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Solution

The third proportional to 280,962 and 602,120.25 is: 1,290,383.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,962 : 602,120.25 = 602,120.25 : x
  2. Step 2: Convert to fraction form
    280,962/602,120.25 = 602,120.25/x
  3. Step 3: Cross multiply
    280,962x = 602,120.25 × 602,120.25
  4. Step 4: Simplify right side
    280,962x = 362,548,795,460.06
  5. Step 5: Solve for x
    x = 362,548,795,460.06/280,962
  6. Step 6: Final answer
    x = 1,290,383.74

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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.