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Finding the Third Proportional to 567,680 and 851,604

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Solution

The third proportional to 567,680 and 851,604 is: 1,277,532.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,680 : 851,604 = 851,604 : x
  2. Step 2: Convert to fraction form
    567,680/851,604 = 851,604/x
  3. Step 3: Cross multiply
    567,680x = 851,604 × 851,604
  4. Step 4: Simplify right side
    567,680x = 725,229,372,816
  5. Step 5: Solve for x
    x = 725,229,372,816/567,680
  6. Step 6: Final answer
    x = 1,277,532.01

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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.