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Finding the Third Proportional to 264,865 and 574,882

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Solution

The third proportional to 264,865 and 574,882 is: 1,247,765.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,865 : 574,882 = 574,882 : x
  2. Step 2: Convert to fraction form
    264,865/574,882 = 574,882/x
  3. Step 3: Cross multiply
    264,865x = 574,882 × 574,882
  4. Step 4: Simplify right side
    264,865x = 330,489,313,924
  5. Step 5: Solve for x
    x = 330,489,313,924/264,865
  6. Step 6: Final answer
    x = 1,247,765.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.