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Finding the Third Proportional to 368,422.88 and 585,849.75

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Solution

The third proportional to 368,422.88 and 585,849.75 is: 931,592.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,422.88 : 585,849.75 = 585,849.75 : x
  2. Step 2: Convert to fraction form
    368,422.88/585,849.75 = 585,849.75/x
  3. Step 3: Cross multiply
    368,422.88x = 585,849.75 × 585,849.75
  4. Step 4: Simplify right side
    368,422.88x = 343,219,929,575.06
  5. Step 5: Solve for x
    x = 343,219,929,575.06/368,422.88
  6. Step 6: Final answer
    x = 931,592.34

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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.