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Finding the Third Proportional to 264,670 and 575,992

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Solution

The third proportional to 264,670 and 575,992 is: 1,253,511.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,670 : 575,992 = 575,992 : x
  2. Step 2: Convert to fraction form
    264,670/575,992 = 575,992/x
  3. Step 3: Cross multiply
    264,670x = 575,992 × 575,992
  4. Step 4: Simplify right side
    264,670x = 331,766,784,064
  5. Step 5: Solve for x
    x = 331,766,784,064/264,670
  6. Step 6: Final answer
    x = 1,253,511.10

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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.