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Finding the Third Proportional to 615,174.75 and 922,747.50

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Solution

The third proportional to 615,174.75 and 922,747.50 is: 1,384,099.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,174.75 : 922,747.50 = 922,747.50 : x
  2. Step 2: Convert to fraction form
    615,174.75/922,747.50 = 922,747.50/x
  3. Step 3: Cross multiply
    615,174.75x = 922,747.50 × 922,747.50
  4. Step 4: Simplify right side
    615,174.75x = 851,462,948,756.25
  5. Step 5: Solve for x
    x = 851,462,948,756.25/615,174.75
  6. Step 6: Final answer
    x = 1,384,099.31

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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.