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Finding the Third Proportional to 715,277.25 and 1,002,526.88

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Solution

The third proportional to 715,277.25 and 1,002,526.88 is: 1,405,133.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    715,277.25 : 1,002,526.88 = 1,002,526.88 : x
  2. Step 2: Convert to fraction form
    715,277.25/1,002,526.88 = 1,002,526.88/x
  3. Step 3: Cross multiply
    715,277.25x = 1,002,526.88 × 1,002,526.88
  4. Step 4: Simplify right side
    715,277.25x = 1,005,060,135,097.27
  5. Step 5: Solve for x
    x = 1,005,060,135,097.27/715,277.25
  6. Step 6: Final answer
    x = 1,405,133.65

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.