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Finding the Third Proportional to 567,540 and 851,391

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Solution

The third proportional to 567,540 and 851,391 is: 1,277,208.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,540 : 851,391 = 851,391 : x
  2. Step 2: Convert to fraction form
    567,540/851,391 = 851,391/x
  3. Step 3: Cross multiply
    567,540x = 851,391 × 851,391
  4. Step 4: Simplify right side
    567,540x = 724,866,634,881
  5. Step 5: Solve for x
    x = 724,866,634,881/567,540
  6. Step 6: Final answer
    x = 1,277,208.01

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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.