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Finding the Third Proportional to 264,714 and 570,900

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Solution

The third proportional to 264,714 and 570,900 is: 1,231,241.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,714 : 570,900 = 570,900 : x
  2. Step 2: Convert to fraction form
    264,714/570,900 = 570,900/x
  3. Step 3: Cross multiply
    264,714x = 570,900 × 570,900
  4. Step 4: Simplify right side
    264,714x = 325,926,810,000
  5. Step 5: Solve for x
    x = 325,926,810,000/264,714
  6. Step 6: Final answer
    x = 1,231,241.30

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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.