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Finding the Third Proportional to 763,978.50 and 1,576,381.50

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Solution

The third proportional to 763,978.50 and 1,576,381.50 is: 3,252,681.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    763,978.50 : 1,576,381.50 = 1,576,381.50 : x
  2. Step 2: Convert to fraction form
    763,978.50/1,576,381.50 = 1,576,381.50/x
  3. Step 3: Cross multiply
    763,978.50x = 1,576,381.50 × 1,576,381.50
  4. Step 4: Simplify right side
    763,978.50x = 2,484,978,633,542.25
  5. Step 5: Solve for x
    x = 2,484,978,633,542.25/763,978.50
  6. Step 6: Final answer
    x = 3,252,681.37

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These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.