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Finding the Third Proportional to 307,602.50 and 481,564.25

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Solution

The third proportional to 307,602.50 and 481,564.25 is: 753,908.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,602.50 : 481,564.25 = 481,564.25 : x
  2. Step 2: Convert to fraction form
    307,602.50/481,564.25 = 481,564.25/x
  3. Step 3: Cross multiply
    307,602.50x = 481,564.25 × 481,564.25
  4. Step 4: Simplify right side
    307,602.50x = 231,904,126,878.06
  5. Step 5: Solve for x
    x = 231,904,126,878.06/307,602.50
  6. Step 6: Final answer
    x = 753,908.46

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.