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Finding the Third Proportional to 252,534 and 554,886

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Solution

The third proportional to 252,534 and 554,886 is: 1,219,235.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,534 : 554,886 = 554,886 : x
  2. Step 2: Convert to fraction form
    252,534/554,886 = 554,886/x
  3. Step 3: Cross multiply
    252,534x = 554,886 × 554,886
  4. Step 4: Simplify right side
    252,534x = 307,898,472,996
  5. Step 5: Solve for x
    x = 307,898,472,996/252,534
  6. Step 6: Final answer
    x = 1,219,235.72

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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.