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Finding the Third Proportional to 264,600 and 570,672

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Solution

The third proportional to 264,600 and 570,672 is: 1,230,788.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,600 : 570,672 = 570,672 : x
  2. Step 2: Convert to fraction form
    264,600/570,672 = 570,672/x
  3. Step 3: Cross multiply
    264,600x = 570,672 × 570,672
  4. Step 4: Simplify right side
    264,600x = 325,666,531,584
  5. Step 5: Solve for x
    x = 325,666,531,584/264,600
  6. Step 6: Final answer
    x = 1,230,788.10

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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.