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Finding the Third Proportional to 275,424.75 and 583,929

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Solution

The third proportional to 275,424.75 and 583,929 is: 1,237,989.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,424.75 : 583,929 = 583,929 : x
  2. Step 2: Convert to fraction form
    275,424.75/583,929 = 583,929/x
  3. Step 3: Cross multiply
    275,424.75x = 583,929 × 583,929
  4. Step 4: Simplify right side
    275,424.75x = 340,973,077,041
  5. Step 5: Solve for x
    x = 340,973,077,041/275,424.75
  6. Step 6: Final answer
    x = 1,237,989.97

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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.