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Finding the Third Proportional to 423,050 and 923,269

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Solution

The third proportional to 423,050 and 923,269 is: 2,014,952.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,050 : 923,269 = 923,269 : x
  2. Step 2: Convert to fraction form
    423,050/923,269 = 923,269/x
  3. Step 3: Cross multiply
    423,050x = 923,269 × 923,269
  4. Step 4: Simplify right side
    423,050x = 852,425,646,361
  5. Step 5: Solve for x
    x = 852,425,646,361/423,050
  6. Step 6: Final answer
    x = 2,014,952.48

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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.