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Finding the Third Proportional to 904,304.75 and 1,205,500

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Solution

The third proportional to 904,304.75 and 1,205,500 is: 1,607,013.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    904,304.75 : 1,205,500 = 1,205,500 : x
  2. Step 2: Convert to fraction form
    904,304.75/1,205,500 = 1,205,500/x
  3. Step 3: Cross multiply
    904,304.75x = 1,205,500 × 1,205,500
  4. Step 4: Simplify right side
    904,304.75x = 1,453,230,250,000
  5. Step 5: Solve for x
    x = 1,453,230,250,000/904,304.75
  6. Step 6: Final answer
    x = 1,607,013.84

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.