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Finding the Third Proportional to 545,859 and 800,968.50

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Solution

The third proportional to 545,859 and 800,968.50 is: 1,175,304.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,859 : 800,968.50 = 800,968.50 : x
  2. Step 2: Convert to fraction form
    545,859/800,968.50 = 800,968.50/x
  3. Step 3: Cross multiply
    545,859x = 800,968.50 × 800,968.50
  4. Step 4: Simplify right side
    545,859x = 641,550,537,992.25
  5. Step 5: Solve for x
    x = 641,550,537,992.25/545,859
  6. Step 6: Final answer
    x = 1,175,304.50

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.