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Finding the Third Proportional to 548,329.50 and 847,381.50

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Solution

The third proportional to 548,329.50 and 847,381.50 is: 1,309,532.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,329.50 : 847,381.50 = 847,381.50 : x
  2. Step 2: Convert to fraction form
    548,329.50/847,381.50 = 847,381.50/x
  3. Step 3: Cross multiply
    548,329.50x = 847,381.50 × 847,381.50
  4. Step 4: Simplify right side
    548,329.50x = 718,055,406,542.25
  5. Step 5: Solve for x
    x = 718,055,406,542.25/548,329.50
  6. Step 6: Final answer
    x = 1,309,532.69

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.