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Finding the Third Proportional to 275,592 and 413,385

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Solution

The third proportional to 275,592 and 413,385 is: 620,073.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,592 : 413,385 = 413,385 : x
  2. Step 2: Convert to fraction form
    275,592/413,385 = 413,385/x
  3. Step 3: Cross multiply
    275,592x = 413,385 × 413,385
  4. Step 4: Simplify right side
    275,592x = 170,887,158,225
  5. Step 5: Solve for x
    x = 170,887,158,225/275,592
  6. Step 6: Final answer
    x = 620,073.00

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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.