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Finding the Third Proportional to 286,171.50 and 621,548.25

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Solution

The third proportional to 286,171.50 and 621,548.25 is: 1,349,967.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,171.50 : 621,548.25 = 621,548.25 : x
  2. Step 2: Convert to fraction form
    286,171.50/621,548.25 = 621,548.25/x
  3. Step 3: Cross multiply
    286,171.50x = 621,548.25 × 621,548.25
  4. Step 4: Simplify right side
    286,171.50x = 386,322,227,078.06
  5. Step 5: Solve for x
    x = 386,322,227,078.06/286,171.50
  6. Step 6: Final answer
    x = 1,349,967.51

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.