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Finding the Third Proportional to 264,168 and 571,404

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Solution

The third proportional to 264,168 and 571,404 is: 1,235,965.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,168 : 571,404 = 571,404 : x
  2. Step 2: Convert to fraction form
    264,168/571,404 = 571,404/x
  3. Step 3: Cross multiply
    264,168x = 571,404 × 571,404
  4. Step 4: Simplify right side
    264,168x = 326,502,531,216
  5. Step 5: Solve for x
    x = 326,502,531,216/264,168
  6. Step 6: Final answer
    x = 1,235,965.49

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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.