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Finding the Third Proportional to 513,535.50 and 801,393

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Solution

The third proportional to 513,535.50 and 801,393 is: 1,250,606.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,535.50 : 801,393 = 801,393 : x
  2. Step 2: Convert to fraction form
    513,535.50/801,393 = 801,393/x
  3. Step 3: Cross multiply
    513,535.50x = 801,393 × 801,393
  4. Step 4: Simplify right side
    513,535.50x = 642,230,740,449
  5. Step 5: Solve for x
    x = 642,230,740,449/513,535.50
  6. Step 6: Final answer
    x = 1,250,606.32

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.