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Finding the Third Proportional to 264,914 and 567,706

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Solution

The third proportional to 264,914 and 567,706 is: 1,216,583.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,914 : 567,706 = 567,706 : x
  2. Step 2: Convert to fraction form
    264,914/567,706 = 567,706/x
  3. Step 3: Cross multiply
    264,914x = 567,706 × 567,706
  4. Step 4: Simplify right side
    264,914x = 322,290,102,436
  5. Step 5: Solve for x
    x = 322,290,102,436/264,914
  6. Step 6: Final answer
    x = 1,216,583.88

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.