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Finding the Third Proportional to 429,823.13 and 923,064.75

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Solution

The third proportional to 429,823.13 and 923,064.75 is: 1,982,323.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,823.13 : 923,064.75 = 923,064.75 : x
  2. Step 2: Convert to fraction form
    429,823.13/923,064.75 = 923,064.75/x
  3. Step 3: Cross multiply
    429,823.13x = 923,064.75 × 923,064.75
  4. Step 4: Simplify right side
    429,823.13x = 852,048,532,692.56
  5. Step 5: Solve for x
    x = 852,048,532,692.56/429,823.13
  6. Step 6: Final answer
    x = 1,982,323.62

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.