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Finding the Third Proportional to 295,606 and 646,424

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Solution

The third proportional to 295,606 and 646,424 is: 1,413,584.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,606 : 646,424 = 646,424 : x
  2. Step 2: Convert to fraction form
    295,606/646,424 = 646,424/x
  3. Step 3: Cross multiply
    295,606x = 646,424 × 646,424
  4. Step 4: Simplify right side
    295,606x = 417,863,987,776
  5. Step 5: Solve for x
    x = 417,863,987,776/295,606
  6. Step 6: Final answer
    x = 1,413,584.26

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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.