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Finding the Third Proportional to 281,010 and 417,170

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Solution

The third proportional to 281,010 and 417,170 is: 619,304.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,010 : 417,170 = 417,170 : x
  2. Step 2: Convert to fraction form
    281,010/417,170 = 417,170/x
  3. Step 3: Cross multiply
    281,010x = 417,170 × 417,170
  4. Step 4: Simplify right side
    281,010x = 174,030,808,900
  5. Step 5: Solve for x
    x = 174,030,808,900/281,010
  6. Step 6: Final answer
    x = 619,304.68

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.