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Finding the Third Proportional to 275,526 and 584,118

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Solution

The third proportional to 275,526 and 584,118 is: 1,238,336.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,526 : 584,118 = 584,118 : x
  2. Step 2: Convert to fraction form
    275,526/584,118 = 584,118/x
  3. Step 3: Cross multiply
    275,526x = 584,118 × 584,118
  4. Step 4: Simplify right side
    275,526x = 341,193,837,924
  5. Step 5: Solve for x
    x = 341,193,837,924/275,526
  6. Step 6: Final answer
    x = 1,238,336.27

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.