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Finding the Third Proportional to 308,974.50 and 438,129

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Solution

The third proportional to 308,974.50 and 438,129 is: 621,271.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,974.50 : 438,129 = 438,129 : x
  2. Step 2: Convert to fraction form
    308,974.50/438,129 = 438,129/x
  3. Step 3: Cross multiply
    308,974.50x = 438,129 × 438,129
  4. Step 4: Simplify right side
    308,974.50x = 191,957,020,641
  5. Step 5: Solve for x
    x = 191,957,020,641/308,974.50
  6. Step 6: Final answer
    x = 621,271.40

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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.