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Finding the Third Proportional to 226,031.34 and 483,521.48

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Solution

The third proportional to 226,031.34 and 483,521.48 is: 1,034,338.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,031.34 : 483,521.48 = 483,521.48 : x
  2. Step 2: Convert to fraction form
    226,031.34/483,521.48 = 483,521.48/x
  3. Step 3: Cross multiply
    226,031.34x = 483,521.48 × 483,521.48
  4. Step 4: Simplify right side
    226,031.34x = 233,793,025,852.20
  5. Step 5: Solve for x
    x = 233,793,025,852.20/226,031.34
  6. Step 6: Final answer
    x = 1,034,338.96

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.