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Finding the Third Proportional to 771,575.63 and 1,146,183.75

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Solution

The third proportional to 771,575.63 and 1,146,183.75 is: 1,702,668.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,575.63 : 1,146,183.75 = 1,146,183.75 : x
  2. Step 2: Convert to fraction form
    771,575.63/1,146,183.75 = 1,146,183.75/x
  3. Step 3: Cross multiply
    771,575.63x = 1,146,183.75 × 1,146,183.75
  4. Step 4: Simplify right side
    771,575.63x = 1,313,737,188,764.06
  5. Step 5: Solve for x
    x = 1,313,737,188,764.06/771,575.63
  6. Step 6: Final answer
    x = 1,702,668.08

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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.