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Finding the Third Proportional to 280,382.50 and 616,814

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Solution

The third proportional to 280,382.50 and 616,814 is: 1,356,930.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,382.50 : 616,814 = 616,814 : x
  2. Step 2: Convert to fraction form
    280,382.50/616,814 = 616,814/x
  3. Step 3: Cross multiply
    280,382.50x = 616,814 × 616,814
  4. Step 4: Simplify right side
    280,382.50x = 380,459,510,596
  5. Step 5: Solve for x
    x = 380,459,510,596/280,382.50
  6. Step 6: Final answer
    x = 1,356,930.30

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.