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Finding the Third Proportional to 567,672 and 851,592

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Solution

The third proportional to 567,672 and 851,592 is: 1,277,514.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,672 : 851,592 = 851,592 : x
  2. Step 2: Convert to fraction form
    567,672/851,592 = 851,592/x
  3. Step 3: Cross multiply
    567,672x = 851,592 × 851,592
  4. Step 4: Simplify right side
    567,672x = 725,208,934,464
  5. Step 5: Solve for x
    x = 725,208,934,464/567,672
  6. Step 6: Final answer
    x = 1,277,514.01

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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.