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Finding the Third Proportional to 496,543.50 and 1,063,071

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Solution

The third proportional to 496,543.50 and 1,063,071 is: 2,275,973.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,543.50 : 1,063,071 = 1,063,071 : x
  2. Step 2: Convert to fraction form
    496,543.50/1,063,071 = 1,063,071/x
  3. Step 3: Cross multiply
    496,543.50x = 1,063,071 × 1,063,071
  4. Step 4: Simplify right side
    496,543.50x = 1,130,119,951,041
  5. Step 5: Solve for x
    x = 1,130,119,951,041/496,543.50
  6. Step 6: Final answer
    x = 2,275,973.71

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.