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Finding the Third Proportional to 368,424 and 585,852

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Solution

The third proportional to 368,424 and 585,852 is: 931,596.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,424 : 585,852 = 585,852 : x
  2. Step 2: Convert to fraction form
    368,424/585,852 = 585,852/x
  3. Step 3: Cross multiply
    368,424x = 585,852 × 585,852
  4. Step 4: Simplify right side
    368,424x = 343,222,565,904
  5. Step 5: Solve for x
    x = 343,222,565,904/368,424
  6. Step 6: Final answer
    x = 931,596.65

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.