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Finding the Third Proportional to 297,954 and 461,637

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Solution

The third proportional to 297,954 and 461,637 is: 715,240.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,954 : 461,637 = 461,637 : x
  2. Step 2: Convert to fraction form
    297,954/461,637 = 461,637/x
  3. Step 3: Cross multiply
    297,954x = 461,637 × 461,637
  4. Step 4: Simplify right side
    297,954x = 213,108,719,769
  5. Step 5: Solve for x
    x = 213,108,719,769/297,954
  6. Step 6: Final answer
    x = 715,240.34

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.