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Finding the Third Proportional to 296,893.13 and 447,877.69

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Solution

The third proportional to 296,893.13 and 447,877.69 is: 675,645.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,893.13 : 447,877.69 = 447,877.69 : x
  2. Step 2: Convert to fraction form
    296,893.13/447,877.69 = 447,877.69/x
  3. Step 3: Cross multiply
    296,893.13x = 447,877.69 × 447,877.69
  4. Step 4: Simplify right side
    296,893.13x = 200,594,422,960.35
  5. Step 5: Solve for x
    x = 200,594,422,960.35/296,893.13
  6. Step 6: Final answer
    x = 675,645.23

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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.