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Finding the Third Proportional to 264,172 and 401,304

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Solution

The third proportional to 264,172 and 401,304 is: 609,621.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,172 : 401,304 = 401,304 : x
  2. Step 2: Convert to fraction form
    264,172/401,304 = 401,304/x
  3. Step 3: Cross multiply
    264,172x = 401,304 × 401,304
  4. Step 4: Simplify right side
    264,172x = 161,044,900,416
  5. Step 5: Solve for x
    x = 161,044,900,416/264,172
  6. Step 6: Final answer
    x = 609,621.38

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.