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Finding the Third Proportional to 282,776 and 606,493

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Solution

The third proportional to 282,776 and 606,493 is: 1,300,795.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,776 : 606,493 = 606,493 : x
  2. Step 2: Convert to fraction form
    282,776/606,493 = 606,493/x
  3. Step 3: Cross multiply
    282,776x = 606,493 × 606,493
  4. Step 4: Simplify right side
    282,776x = 367,833,759,049
  5. Step 5: Solve for x
    x = 367,833,759,049/282,776
  6. Step 6: Final answer
    x = 1,300,795.54

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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.