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Finding the Third Proportional to 223,202 and 480,580

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Solution

The third proportional to 223,202 and 480,580 is: 1,034,744.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,202 : 480,580 = 480,580 : x
  2. Step 2: Convert to fraction form
    223,202/480,580 = 480,580/x
  3. Step 3: Cross multiply
    223,202x = 480,580 × 480,580
  4. Step 4: Simplify right side
    223,202x = 230,957,136,400
  5. Step 5: Solve for x
    x = 230,957,136,400/223,202
  6. Step 6: Final answer
    x = 1,034,744.92

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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.