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Finding the Third Proportional to 252,101 and 531,742

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Solution

The third proportional to 252,101 and 531,742 is: 1,121,572.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,101 : 531,742 = 531,742 : x
  2. Step 2: Convert to fraction form
    252,101/531,742 = 531,742/x
  3. Step 3: Cross multiply
    252,101x = 531,742 × 531,742
  4. Step 4: Simplify right side
    252,101x = 282,749,554,564
  5. Step 5: Solve for x
    x = 282,749,554,564/252,101
  6. Step 6: Final answer
    x = 1,121,572.52

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.