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Finding the Third Proportional to 338,110.50 and 713,946

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Solution

The third proportional to 338,110.50 and 713,946 is: 1,507,551.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,110.50 : 713,946 = 713,946 : x
  2. Step 2: Convert to fraction form
    338,110.50/713,946 = 713,946/x
  3. Step 3: Cross multiply
    338,110.50x = 713,946 × 713,946
  4. Step 4: Simplify right side
    338,110.50x = 509,718,890,916
  5. Step 5: Solve for x
    x = 509,718,890,916/338,110.50
  6. Step 6: Final answer
    x = 1,507,551.20

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.