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Finding the Third Proportional to 324,445.50 and 483,980.06

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Solution

The third proportional to 324,445.50 and 483,980.06 is: 721,960.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,445.50 : 483,980.06 = 483,980.06 : x
  2. Step 2: Convert to fraction form
    324,445.50/483,980.06 = 483,980.06/x
  3. Step 3: Cross multiply
    324,445.50x = 483,980.06 × 483,980.06
  4. Step 4: Simplify right side
    324,445.50x = 234,236,700,897.50
  5. Step 5: Solve for x
    x = 234,236,700,897.50/324,445.50
  6. Step 6: Final answer
    x = 721,960.09

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.