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Finding the Third Proportional to 310,032 and 438,815

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Solution

The third proportional to 310,032 and 438,815 is: 621,092.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,032 : 438,815 = 438,815 : x
  2. Step 2: Convert to fraction form
    310,032/438,815 = 438,815/x
  3. Step 3: Cross multiply
    310,032x = 438,815 × 438,815
  4. Step 4: Simplify right side
    310,032x = 192,558,604,225
  5. Step 5: Solve for x
    x = 192,558,604,225/310,032
  6. Step 6: Final answer
    x = 621,092.68

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.