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Finding the Third Proportional to 368,451 and 585,886

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Solution

The third proportional to 368,451 and 585,886 is: 931,636.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,451 : 585,886 = 585,886 : x
  2. Step 2: Convert to fraction form
    368,451/585,886 = 585,886/x
  3. Step 3: Cross multiply
    368,451x = 585,886 × 585,886
  4. Step 4: Simplify right side
    368,451x = 343,262,404,996
  5. Step 5: Solve for x
    x = 343,262,404,996/368,451
  6. Step 6: Final answer
    x = 931,636.51

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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.