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Finding the Third Proportional to 286,160 and 622,074

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Solution

The third proportional to 286,160 and 622,074 is: 1,352,306.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,160 : 622,074 = 622,074 : x
  2. Step 2: Convert to fraction form
    286,160/622,074 = 622,074/x
  3. Step 3: Cross multiply
    286,160x = 622,074 × 622,074
  4. Step 4: Simplify right side
    286,160x = 386,976,061,476
  5. Step 5: Solve for x
    x = 386,976,061,476/286,160
  6. Step 6: Final answer
    x = 1,352,306.62

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.