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Finding the Third Proportional to 282,525.25 and 426,415.25

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Solution

The third proportional to 282,525.25 and 426,415.25 is: 643,588.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,525.25 : 426,415.25 = 426,415.25 : x
  2. Step 2: Convert to fraction form
    282,525.25/426,415.25 = 426,415.25/x
  3. Step 3: Cross multiply
    282,525.25x = 426,415.25 × 426,415.25
  4. Step 4: Simplify right side
    282,525.25x = 181,829,965,432.56
  5. Step 5: Solve for x
    x = 181,829,965,432.56/282,525.25
  6. Step 6: Final answer
    x = 643,588.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.