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Finding the Third Proportional to 567,684 and 851,610

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Solution

The third proportional to 567,684 and 851,610 is: 1,277,541.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,684 : 851,610 = 851,610 : x
  2. Step 2: Convert to fraction form
    567,684/851,610 = 851,610/x
  3. Step 3: Cross multiply
    567,684x = 851,610 × 851,610
  4. Step 4: Simplify right side
    567,684x = 725,239,592,100
  5. Step 5: Solve for x
    x = 725,239,592,100/567,684
  6. Step 6: Final answer
    x = 1,277,541.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.