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Finding the Third Proportional to 583,958 and 1,255,204

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Solution

The third proportional to 583,958 and 1,255,204 is: 2,698,031.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,958 : 1,255,204 = 1,255,204 : x
  2. Step 2: Convert to fraction form
    583,958/1,255,204 = 1,255,204/x
  3. Step 3: Cross multiply
    583,958x = 1,255,204 × 1,255,204
  4. Step 4: Simplify right side
    583,958x = 1,575,537,081,616
  5. Step 5: Solve for x
    x = 1,575,537,081,616/583,958
  6. Step 6: Final answer
    x = 2,698,031.51

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.