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Finding the Third Proportional to 282,464 and 605,860

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Solution

The third proportional to 282,464 and 605,860 is: 1,299,515.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,464 : 605,860 = 605,860 : x
  2. Step 2: Convert to fraction form
    282,464/605,860 = 605,860/x
  3. Step 3: Cross multiply
    282,464x = 605,860 × 605,860
  4. Step 4: Simplify right side
    282,464x = 367,066,339,600
  5. Step 5: Solve for x
    x = 367,066,339,600/282,464
  6. Step 6: Final answer
    x = 1,299,515.48

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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.