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Finding the Third Proportional to 399,076.88 and 864,553.50

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Solution

The third proportional to 399,076.88 and 864,553.50 is: 1,872,954.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,076.88 : 864,553.50 = 864,553.50 : x
  2. Step 2: Convert to fraction form
    399,076.88/864,553.50 = 864,553.50/x
  3. Step 3: Cross multiply
    399,076.88x = 864,553.50 × 864,553.50
  4. Step 4: Simplify right side
    399,076.88x = 747,452,754,362.25
  5. Step 5: Solve for x
    x = 747,452,754,362.25/399,076.88
  6. Step 6: Final answer
    x = 1,872,954.31

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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.