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Finding the Third Proportional to 267,770 and 585,220

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Solution

The third proportional to 267,770 and 585,220 is: 1,279,017.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,770 : 585,220 = 585,220 : x
  2. Step 2: Convert to fraction form
    267,770/585,220 = 585,220/x
  3. Step 3: Cross multiply
    267,770x = 585,220 × 585,220
  4. Step 4: Simplify right side
    267,770x = 342,482,448,400
  5. Step 5: Solve for x
    x = 342,482,448,400/267,770
  6. Step 6: Final answer
    x = 1,279,017.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.