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Finding the Third Proportional to 264,170 and 571,408

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Solution

The third proportional to 264,170 and 571,408 is: 1,235,973.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,170 : 571,408 = 571,408 : x
  2. Step 2: Convert to fraction form
    264,170/571,408 = 571,408/x
  3. Step 3: Cross multiply
    264,170x = 571,408 × 571,408
  4. Step 4: Simplify right side
    264,170x = 326,507,102,464
  5. Step 5: Solve for x
    x = 326,507,102,464/264,170
  6. Step 6: Final answer
    x = 1,235,973.44

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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.