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Finding the Third Proportional to 358,954 and 555,739

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Solution

The third proportional to 358,954 and 555,739 is: 860,405.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,954 : 555,739 = 555,739 : x
  2. Step 2: Convert to fraction form
    358,954/555,739 = 555,739/x
  3. Step 3: Cross multiply
    358,954x = 555,739 × 555,739
  4. Step 4: Simplify right side
    358,954x = 308,845,836,121
  5. Step 5: Solve for x
    x = 308,845,836,121/358,954
  6. Step 6: Final answer
    x = 860,405.06

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.