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Finding the Third Proportional to 264,672 and 575,996

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Solution

The third proportional to 264,672 and 575,996 is: 1,253,519.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,672 : 575,996 = 575,996 : x
  2. Step 2: Convert to fraction form
    264,672/575,996 = 575,996/x
  3. Step 3: Cross multiply
    264,672x = 575,996 × 575,996
  4. Step 4: Simplify right side
    264,672x = 331,771,392,016
  5. Step 5: Solve for x
    x = 331,771,392,016/264,672
  6. Step 6: Final answer
    x = 1,253,519.04

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.