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Finding the Third Proportional to 368,418 and 585,840

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Solution

The third proportional to 368,418 and 585,840 is: 931,573.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,418 : 585,840 = 585,840 : x
  2. Step 2: Convert to fraction form
    368,418/585,840 = 585,840/x
  3. Step 3: Cross multiply
    368,418x = 585,840 × 585,840
  4. Step 4: Simplify right side
    368,418x = 343,208,505,600
  5. Step 5: Solve for x
    x = 343,208,505,600/368,418
  6. Step 6: Final answer
    x = 931,573.66

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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.