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Finding the Third Proportional to 252,696 and 544,754

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Solution

The third proportional to 252,696 and 544,754 is: 1,174,363.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,696 : 544,754 = 544,754 : x
  2. Step 2: Convert to fraction form
    252,696/544,754 = 544,754/x
  3. Step 3: Cross multiply
    252,696x = 544,754 × 544,754
  4. Step 4: Simplify right side
    252,696x = 296,756,920,516
  5. Step 5: Solve for x
    x = 296,756,920,516/252,696
  6. Step 6: Final answer
    x = 1,174,363.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.