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Finding the Third Proportional to 264,908 and 572,244

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Solution

The third proportional to 264,908 and 572,244 is: 1,236,139.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,908 : 572,244 = 572,244 : x
  2. Step 2: Convert to fraction form
    264,908/572,244 = 572,244/x
  3. Step 3: Cross multiply
    264,908x = 572,244 × 572,244
  4. Step 4: Simplify right side
    264,908x = 327,463,195,536
  5. Step 5: Solve for x
    x = 327,463,195,536/264,908
  6. Step 6: Final answer
    x = 1,236,139.32

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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.