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Finding the Third Proportional to 304,609.50 and 446,526

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Solution

The third proportional to 304,609.50 and 446,526 is: 654,560.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,609.50 : 446,526 = 446,526 : x
  2. Step 2: Convert to fraction form
    304,609.50/446,526 = 446,526/x
  3. Step 3: Cross multiply
    304,609.50x = 446,526 × 446,526
  4. Step 4: Simplify right side
    304,609.50x = 199,385,468,676
  5. Step 5: Solve for x
    x = 199,385,468,676/304,609.50
  6. Step 6: Final answer
    x = 654,560.90

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.