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Finding the Third Proportional to 546,027 and 863,388

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Solution

The third proportional to 546,027 and 863,388 is: 1,365,205.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,027 : 863,388 = 863,388 : x
  2. Step 2: Convert to fraction form
    546,027/863,388 = 863,388/x
  3. Step 3: Cross multiply
    546,027x = 863,388 × 863,388
  4. Step 4: Simplify right side
    546,027x = 745,438,838,544
  5. Step 5: Solve for x
    x = 745,438,838,544/546,027
  6. Step 6: Final answer
    x = 1,365,205.09

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.