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Finding the Third Proportional to 433,137.50 and 1,043,478

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Solution

The third proportional to 433,137.50 and 1,043,478 is: 2,513,858.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,137.50 : 1,043,478 = 1,043,478 : x
  2. Step 2: Convert to fraction form
    433,137.50/1,043,478 = 1,043,478/x
  3. Step 3: Cross multiply
    433,137.50x = 1,043,478 × 1,043,478
  4. Step 4: Simplify right side
    433,137.50x = 1,088,846,336,484
  5. Step 5: Solve for x
    x = 1,088,846,336,484/433,137.50
  6. Step 6: Final answer
    x = 2,513,858.39

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.