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Finding the Third Proportional to 275,542 and 417,464

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Solution

The third proportional to 275,542 and 417,464 is: 632,485.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,542 : 417,464 = 417,464 : x
  2. Step 2: Convert to fraction form
    275,542/417,464 = 417,464/x
  3. Step 3: Cross multiply
    275,542x = 417,464 × 417,464
  4. Step 4: Simplify right side
    275,542x = 174,276,191,296
  5. Step 5: Solve for x
    x = 174,276,191,296/275,542
  6. Step 6: Final answer
    x = 632,485.03

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.