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Finding the Third Proportional to 381,633 and 560,779.50

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Solution

The third proportional to 381,633 and 560,779.50 is: 824,021.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,633 : 560,779.50 = 560,779.50 : x
  2. Step 2: Convert to fraction form
    381,633/560,779.50 = 560,779.50/x
  3. Step 3: Cross multiply
    381,633x = 560,779.50 × 560,779.50
  4. Step 4: Simplify right side
    381,633x = 314,473,647,620.25
  5. Step 5: Solve for x
    x = 314,473,647,620.25/381,633
  6. Step 6: Final answer
    x = 824,021.11

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.