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Finding the Third Proportional to 429,914 and 923,250

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Solution

The third proportional to 429,914 and 923,250 is: 1,982,700.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,914 : 923,250 = 923,250 : x
  2. Step 2: Convert to fraction form
    429,914/923,250 = 923,250/x
  3. Step 3: Cross multiply
    429,914x = 923,250 × 923,250
  4. Step 4: Simplify right side
    429,914x = 852,390,562,500
  5. Step 5: Solve for x
    x = 852,390,562,500/429,914
  6. Step 6: Final answer
    x = 1,982,700.17

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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.