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Finding the Third Proportional to 265,032 and 574,944

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Solution

The third proportional to 265,032 and 574,944 is: 1,247,247.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,032 : 574,944 = 574,944 : x
  2. Step 2: Convert to fraction form
    265,032/574,944 = 574,944/x
  3. Step 3: Cross multiply
    265,032x = 574,944 × 574,944
  4. Step 4: Simplify right side
    265,032x = 330,560,603,136
  5. Step 5: Solve for x
    x = 330,560,603,136/265,032
  6. Step 6: Final answer
    x = 1,247,247.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.