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Finding the Third Proportional to 429,907.50 and 923,238

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Solution

The third proportional to 429,907.50 and 923,238 is: 1,982,678.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,907.50 : 923,238 = 923,238 : x
  2. Step 2: Convert to fraction form
    429,907.50/923,238 = 923,238/x
  3. Step 3: Cross multiply
    429,907.50x = 923,238 × 923,238
  4. Step 4: Simplify right side
    429,907.50x = 852,368,404,644
  5. Step 5: Solve for x
    x = 852,368,404,644/429,907.50
  6. Step 6: Final answer
    x = 1,982,678.61

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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.