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Finding the Third Proportional to 297,026 and 460,147

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Solution

The third proportional to 297,026 and 460,147 is: 712,850.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,026 : 460,147 = 460,147 : x
  2. Step 2: Convert to fraction form
    297,026/460,147 = 460,147/x
  3. Step 3: Cross multiply
    297,026x = 460,147 × 460,147
  4. Step 4: Simplify right side
    297,026x = 211,735,261,609
  5. Step 5: Solve for x
    x = 211,735,261,609/297,026
  6. Step 6: Final answer
    x = 712,850.93

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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.