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Finding the Third Proportional to 423,054.56 and 923,278.50

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Solution

The third proportional to 423,054.56 and 923,278.50 is: 2,014,972.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,054.56 : 923,278.50 = 923,278.50 : x
  2. Step 2: Convert to fraction form
    423,054.56/923,278.50 = 923,278.50/x
  3. Step 3: Cross multiply
    423,054.56x = 923,278.50 × 923,278.50
  4. Step 4: Simplify right side
    423,054.56x = 852,443,188,562.25
  5. Step 5: Solve for x
    x = 852,443,188,562.25/423,054.56
  6. Step 6: Final answer
    x = 2,014,972.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.