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Finding the Third Proportional to 502,764.75 and 1,071,303.75

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Solution

The third proportional to 502,764.75 and 1,071,303.75 is: 2,282,760.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,764.75 : 1,071,303.75 = 1,071,303.75 : x
  2. Step 2: Convert to fraction form
    502,764.75/1,071,303.75 = 1,071,303.75/x
  3. Step 3: Cross multiply
    502,764.75x = 1,071,303.75 × 1,071,303.75
  4. Step 4: Simplify right side
    502,764.75x = 1,147,691,724,764.06
  5. Step 5: Solve for x
    x = 1,147,691,724,764.06/502,764.75
  6. Step 6: Final answer
    x = 2,282,760.92

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.