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Finding the Third Proportional to 604,440 and 847,296

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Solution

The third proportional to 604,440 and 847,296 is: 1,187,728.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,440 : 847,296 = 847,296 : x
  2. Step 2: Convert to fraction form
    604,440/847,296 = 847,296/x
  3. Step 3: Cross multiply
    604,440x = 847,296 × 847,296
  4. Step 4: Simplify right side
    604,440x = 717,910,511,616
  5. Step 5: Solve for x
    x = 717,910,511,616/604,440
  6. Step 6: Final answer
    x = 1,187,728.33

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.