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Finding the Third Proportional to 287,546 and 620,020

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Solution

The third proportional to 287,546 and 620,020 is: 1,336,915.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,546 : 620,020 = 620,020 : x
  2. Step 2: Convert to fraction form
    287,546/620,020 = 620,020/x
  3. Step 3: Cross multiply
    287,546x = 620,020 × 620,020
  4. Step 4: Simplify right side
    287,546x = 384,424,800,400
  5. Step 5: Solve for x
    x = 384,424,800,400/287,546
  6. Step 6: Final answer
    x = 1,336,915.83

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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.