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Finding the Third Proportional to 557,254 and 860,993

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Solution

The third proportional to 557,254 and 860,993 is: 1,330,289.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,254 : 860,993 = 860,993 : x
  2. Step 2: Convert to fraction form
    557,254/860,993 = 860,993/x
  3. Step 3: Cross multiply
    557,254x = 860,993 × 860,993
  4. Step 4: Simplify right side
    557,254x = 741,308,946,049
  5. Step 5: Solve for x
    x = 741,308,946,049/557,254
  6. Step 6: Final answer
    x = 1,330,289.14

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.