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Finding the Third Proportional to 275,596 and 413,391

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Solution

The third proportional to 275,596 and 413,391 is: 620,082.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,596 : 413,391 = 413,391 : x
  2. Step 2: Convert to fraction form
    275,596/413,391 = 413,391/x
  3. Step 3: Cross multiply
    275,596x = 413,391 × 413,391
  4. Step 4: Simplify right side
    275,596x = 170,892,118,881
  5. Step 5: Solve for x
    x = 170,892,118,881/275,596
  6. Step 6: Final answer
    x = 620,082.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.