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Finding the Third Proportional to 277,731 and 414,779.50

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Solution

The third proportional to 277,731 and 414,779.50 is: 619,455.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,731 : 414,779.50 = 414,779.50 : x
  2. Step 2: Convert to fraction form
    277,731/414,779.50 = 414,779.50/x
  3. Step 3: Cross multiply
    277,731x = 414,779.50 × 414,779.50
  4. Step 4: Simplify right side
    277,731x = 172,042,033,620.25
  5. Step 5: Solve for x
    x = 172,042,033,620.25/277,731
  6. Step 6: Final answer
    x = 619,455.64

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.