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Finding the Third Proportional to 280,185.75 and 619,246.69

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Solution

The third proportional to 280,185.75 and 619,246.69 is: 1,368,615.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,185.75 : 619,246.69 = 619,246.69 : x
  2. Step 2: Convert to fraction form
    280,185.75/619,246.69 = 619,246.69/x
  3. Step 3: Cross multiply
    280,185.75x = 619,246.69 × 619,246.69
  4. Step 4: Simplify right side
    280,185.75x = 383,466,459,979.72
  5. Step 5: Solve for x
    x = 383,466,459,979.72/280,185.75
  6. Step 6: Final answer
    x = 1,368,615.14

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.