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Finding the Third Proportional to 200,847.33 and 473,314.64

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Solution

The third proportional to 200,847.33 and 473,314.64 is: 1,115,408.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,847.33 : 473,314.64 = 473,314.64 : x
  2. Step 2: Convert to fraction form
    200,847.33/473,314.64 = 473,314.64/x
  3. Step 3: Cross multiply
    200,847.33x = 473,314.64 × 473,314.64
  4. Step 4: Simplify right side
    200,847.33x = 224,026,749,029.97
  5. Step 5: Solve for x
    x = 224,026,749,029.97/200,847.33
  6. Step 6: Final answer
    x = 1,115,408.15

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.