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Finding the Third Proportional to 770,514.50 and 1,022,661.75

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Solution

The third proportional to 770,514.50 and 1,022,661.75 is: 1,357,323.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    770,514.50 : 1,022,661.75 = 1,022,661.75 : x
  2. Step 2: Convert to fraction form
    770,514.50/1,022,661.75 = 1,022,661.75/x
  3. Step 3: Cross multiply
    770,514.50x = 1,022,661.75 × 1,022,661.75
  4. Step 4: Simplify right side
    770,514.50x = 1,045,837,054,913.06
  5. Step 5: Solve for x
    x = 1,045,837,054,913.06/770,514.50
  6. Step 6: Final answer
    x = 1,357,323.00

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.