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Finding the Third Proportional to 285,088 and 612,293

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Solution

The third proportional to 285,088 and 612,293 is: 1,315,042.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,088 : 612,293 = 612,293 : x
  2. Step 2: Convert to fraction form
    285,088/612,293 = 612,293/x
  3. Step 3: Cross multiply
    285,088x = 612,293 × 612,293
  4. Step 4: Simplify right side
    285,088x = 374,902,717,849
  5. Step 5: Solve for x
    x = 374,902,717,849/285,088
  6. Step 6: Final answer
    x = 1,315,042.08

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.