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Finding the Third Proportional to 223,370 and 477,902

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Solution

The third proportional to 223,370 and 477,902 is: 1,022,475.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,370 : 477,902 = 477,902 : x
  2. Step 2: Convert to fraction form
    223,370/477,902 = 477,902/x
  3. Step 3: Cross multiply
    223,370x = 477,902 × 477,902
  4. Step 4: Simplify right side
    223,370x = 228,390,321,604
  5. Step 5: Solve for x
    x = 228,390,321,604/223,370
  6. Step 6: Final answer
    x = 1,022,475.36

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.