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Finding the Third Proportional to 248,550.75 and 514,939.50

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Solution

The third proportional to 248,550.75 and 514,939.50 is: 1,066,835.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,550.75 : 514,939.50 = 514,939.50 : x
  2. Step 2: Convert to fraction form
    248,550.75/514,939.50 = 514,939.50/x
  3. Step 3: Cross multiply
    248,550.75x = 514,939.50 × 514,939.50
  4. Step 4: Simplify right side
    248,550.75x = 265,162,688,660.25
  5. Step 5: Solve for x
    x = 265,162,688,660.25/248,550.75
  6. Step 6: Final answer
    x = 1,066,835.20

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.