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Finding the Third Proportional to 252,710 and 544,782

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Solution

The third proportional to 252,710 and 544,782 is: 1,174,419.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,710 : 544,782 = 544,782 : x
  2. Step 2: Convert to fraction form
    252,710/544,782 = 544,782/x
  3. Step 3: Cross multiply
    252,710x = 544,782 × 544,782
  4. Step 4: Simplify right side
    252,710x = 296,787,427,524
  5. Step 5: Solve for x
    x = 296,787,427,524/252,710
  6. Step 6: Final answer
    x = 1,174,419.01

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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.