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Finding the Third Proportional to 553,186.50 and 854,348.25

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Solution

The third proportional to 553,186.50 and 854,348.25 is: 1,319,466.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,186.50 : 854,348.25 = 854,348.25 : x
  2. Step 2: Convert to fraction form
    553,186.50/854,348.25 = 854,348.25/x
  3. Step 3: Cross multiply
    553,186.50x = 854,348.25 × 854,348.25
  4. Step 4: Simplify right side
    553,186.50x = 729,910,932,278.06
  5. Step 5: Solve for x
    x = 729,910,932,278.06/553,186.50
  6. Step 6: Final answer
    x = 1,319,466.28

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.