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Finding the Third Proportional to 275,481 and 584,091

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Solution

The third proportional to 275,481 and 584,091 is: 1,238,424.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,481 : 584,091 = 584,091 : x
  2. Step 2: Convert to fraction form
    275,481/584,091 = 584,091/x
  3. Step 3: Cross multiply
    275,481x = 584,091 × 584,091
  4. Step 4: Simplify right side
    275,481x = 341,162,296,281
  5. Step 5: Solve for x
    x = 341,162,296,281/275,481
  6. Step 6: Final answer
    x = 1,238,424.05

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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.