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Finding the Third Proportional to 245,124 and 514,980

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Solution

The third proportional to 245,124 and 514,980 is: 1,081,919.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,124 : 514,980 = 514,980 : x
  2. Step 2: Convert to fraction form
    245,124/514,980 = 514,980/x
  3. Step 3: Cross multiply
    245,124x = 514,980 × 514,980
  4. Step 4: Simplify right side
    245,124x = 265,204,400,400
  5. Step 5: Solve for x
    x = 265,204,400,400/245,124
  6. Step 6: Final answer
    x = 1,081,919.36

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.