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Finding the Third Proportional to 358,956 and 555,743

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Solution

The third proportional to 358,956 and 555,743 is: 860,412.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,956 : 555,743 = 555,743 : x
  2. Step 2: Convert to fraction form
    358,956/555,743 = 555,743/x
  3. Step 3: Cross multiply
    358,956x = 555,743 × 555,743
  4. Step 4: Simplify right side
    358,956x = 308,850,282,049
  5. Step 5: Solve for x
    x = 308,850,282,049/358,956
  6. Step 6: Final answer
    x = 860,412.65

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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.