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Finding the Third Proportional to 655,344 and 993,165.75

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Solution

The third proportional to 655,344 and 993,165.75 is: 1,505,130.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,344 : 993,165.75 = 993,165.75 : x
  2. Step 2: Convert to fraction form
    655,344/993,165.75 = 993,165.75/x
  3. Step 3: Cross multiply
    655,344x = 993,165.75 × 993,165.75
  4. Step 4: Simplify right side
    655,344x = 986,378,206,973.06
  5. Step 5: Solve for x
    x = 986,378,206,973.06/655,344
  6. Step 6: Final answer
    x = 1,505,130.45

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.