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Finding the Third Proportional to 259,276 and 388,918.50

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Solution

The third proportional to 259,276 and 388,918.50 is: 583,384.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,276 : 388,918.50 = 388,918.50 : x
  2. Step 2: Convert to fraction form
    259,276/388,918.50 = 388,918.50/x
  3. Step 3: Cross multiply
    259,276x = 388,918.50 × 388,918.50
  4. Step 4: Simplify right side
    259,276x = 151,257,599,642.25
  5. Step 5: Solve for x
    x = 151,257,599,642.25/259,276
  6. Step 6: Final answer
    x = 583,384.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.