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Finding the Third Proportional to 264,671 and 575,994

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Solution

The third proportional to 264,671 and 575,994 is: 1,253,515.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,671 : 575,994 = 575,994 : x
  2. Step 2: Convert to fraction form
    264,671/575,994 = 575,994/x
  3. Step 3: Cross multiply
    264,671x = 575,994 × 575,994
  4. Step 4: Simplify right side
    264,671x = 331,769,088,036
  5. Step 5: Solve for x
    x = 331,769,088,036/264,671
  6. Step 6: Final answer
    x = 1,253,515.07

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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.