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Finding the Third Proportional to 412,634.25 and 904,000.50

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Solution

The third proportional to 412,634.25 and 904,000.50 is: 1,980,487.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,634.25 : 904,000.50 = 904,000.50 : x
  2. Step 2: Convert to fraction form
    412,634.25/904,000.50 = 904,000.50/x
  3. Step 3: Cross multiply
    412,634.25x = 904,000.50 × 904,000.50
  4. Step 4: Simplify right side
    412,634.25x = 817,216,904,000.25
  5. Step 5: Solve for x
    x = 817,216,904,000.25/412,634.25
  6. Step 6: Final answer
    x = 1,980,487.33

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.