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Finding the Third Proportional to 250,078.50 and 546,079.50

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Solution

The third proportional to 250,078.50 and 546,079.50 is: 1,192,436.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,078.50 : 546,079.50 = 546,079.50 : x
  2. Step 2: Convert to fraction form
    250,078.50/546,079.50 = 546,079.50/x
  3. Step 3: Cross multiply
    250,078.50x = 546,079.50 × 546,079.50
  4. Step 4: Simplify right side
    250,078.50x = 298,202,820,320.25
  5. Step 5: Solve for x
    x = 298,202,820,320.25/250,078.50
  6. Step 6: Final answer
    x = 1,192,436.86

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.