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Finding the Third Proportional to 254,859 and 404,890.50

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Solution

The third proportional to 254,859 and 404,890.50 is: 643,243.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,859 : 404,890.50 = 404,890.50 : x
  2. Step 2: Convert to fraction form
    254,859/404,890.50 = 404,890.50/x
  3. Step 3: Cross multiply
    254,859x = 404,890.50 × 404,890.50
  4. Step 4: Simplify right side
    254,859x = 163,936,316,990.25
  5. Step 5: Solve for x
    x = 163,936,316,990.25/254,859
  6. Step 6: Final answer
    x = 643,243.19

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.