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Finding the Third Proportional to 504,713.75 and 775,779.75

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Solution

The third proportional to 504,713.75 and 775,779.75 is: 1,192,426.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,713.75 : 775,779.75 = 775,779.75 : x
  2. Step 2: Convert to fraction form
    504,713.75/775,779.75 = 775,779.75/x
  3. Step 3: Cross multiply
    504,713.75x = 775,779.75 × 775,779.75
  4. Step 4: Simplify right side
    504,713.75x = 601,834,220,510.06
  5. Step 5: Solve for x
    x = 601,834,220,510.06/504,713.75
  6. Step 6: Final answer
    x = 1,192,426.84

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.