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Finding the Third Proportional to 265,202 and 583,012

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Solution

The third proportional to 265,202 and 583,012 is: 1,281,675.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,202 : 583,012 = 583,012 : x
  2. Step 2: Convert to fraction form
    265,202/583,012 = 583,012/x
  3. Step 3: Cross multiply
    265,202x = 583,012 × 583,012
  4. Step 4: Simplify right side
    265,202x = 339,902,992,144
  5. Step 5: Solve for x
    x = 339,902,992,144/265,202
  6. Step 6: Final answer
    x = 1,281,675.83

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.