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Finding the Third Proportional to 296,284.50 and 447,005.25

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Solution

The third proportional to 296,284.50 and 447,005.25 is: 674,398.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,284.50 : 447,005.25 = 447,005.25 : x
  2. Step 2: Convert to fraction form
    296,284.50/447,005.25 = 447,005.25/x
  3. Step 3: Cross multiply
    296,284.50x = 447,005.25 × 447,005.25
  4. Step 4: Simplify right side
    296,284.50x = 199,813,693,527.56
  5. Step 5: Solve for x
    x = 199,813,693,527.56/296,284.50
  6. Step 6: Final answer
    x = 674,398.07

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.