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Finding the Third Proportional to 328,399.31 and 710,773.73

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Solution

The third proportional to 328,399.31 and 710,773.73 is: 1,538,368.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,399.31 : 710,773.73 = 710,773.73 : x
  2. Step 2: Convert to fraction form
    328,399.31/710,773.73 = 710,773.73/x
  3. Step 3: Cross multiply
    328,399.31x = 710,773.73 × 710,773.73
  4. Step 4: Simplify right side
    328,399.31x = 505,199,301,477.38
  5. Step 5: Solve for x
    x = 505,199,301,477.38/328,399.31
  6. Step 6: Final answer
    x = 1,538,368.94

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.