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Finding the Third Proportional to 280,292.25 and 612,747.75

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Solution

The third proportional to 280,292.25 and 612,747.75 is: 1,339,529.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,292.25 : 612,747.75 = 612,747.75 : x
  2. Step 2: Convert to fraction form
    280,292.25/612,747.75 = 612,747.75/x
  3. Step 3: Cross multiply
    280,292.25x = 612,747.75 × 612,747.75
  4. Step 4: Simplify right side
    280,292.25x = 375,459,805,130.06
  5. Step 5: Solve for x
    x = 375,459,805,130.06/280,292.25
  6. Step 6: Final answer
    x = 1,339,529.74

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.