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Finding the Third Proportional to 254,450 and 555,070

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Solution

The third proportional to 254,450 and 555,070 is: 1,210,857.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,450 : 555,070 = 555,070 : x
  2. Step 2: Convert to fraction form
    254,450/555,070 = 555,070/x
  3. Step 3: Cross multiply
    254,450x = 555,070 × 555,070
  4. Step 4: Simplify right side
    254,450x = 308,102,704,900
  5. Step 5: Solve for x
    x = 308,102,704,900/254,450
  6. Step 6: Final answer
    x = 1,210,857.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.