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Finding the Third Proportional to 275,438 and 583,948

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Solution

The third proportional to 275,438 and 583,948 is: 1,238,010.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,438 : 583,948 = 583,948 : x
  2. Step 2: Convert to fraction form
    275,438/583,948 = 583,948/x
  3. Step 3: Cross multiply
    275,438x = 583,948 × 583,948
  4. Step 4: Simplify right side
    275,438x = 340,995,266,704
  5. Step 5: Solve for x
    x = 340,995,266,704/275,438
  6. Step 6: Final answer
    x = 1,238,010.97

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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.