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Finding the Third Proportional to 248,487.75 and 382,640.63

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Solution

The third proportional to 248,487.75 and 382,640.63 is: 589,219.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,487.75 : 382,640.63 = 382,640.63 : x
  2. Step 2: Convert to fraction form
    248,487.75/382,640.63 = 382,640.63/x
  3. Step 3: Cross multiply
    248,487.75x = 382,640.63 × 382,640.63
  4. Step 4: Simplify right side
    248,487.75x = 146,413,847,900.39
  5. Step 5: Solve for x
    x = 146,413,847,900.39/248,487.75
  6. Step 6: Final answer
    x = 589,219.58

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.