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Finding the Third Proportional to 677,391.21 and 997,374.52

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Solution

The third proportional to 677,391.21 and 997,374.52 is: 1,468,510.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,391.21 : 997,374.52 = 997,374.52 : x
  2. Step 2: Convert to fraction form
    677,391.21/997,374.52 = 997,374.52/x
  3. Step 3: Cross multiply
    677,391.21x = 997,374.52 × 997,374.52
  4. Step 4: Simplify right side
    677,391.21x = 994,755,924,418.20
  5. Step 5: Solve for x
    x = 994,755,924,418.20/677,391.21
  6. Step 6: Final answer
    x = 1,468,510.23

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.