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Finding the Third Proportional to 354,453 and 777,797

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Solution

The third proportional to 354,453 and 777,797 is: 1,706,765.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,453 : 777,797 = 777,797 : x
  2. Step 2: Convert to fraction form
    354,453/777,797 = 777,797/x
  3. Step 3: Cross multiply
    354,453x = 777,797 × 777,797
  4. Step 4: Simplify right side
    354,453x = 604,968,173,209
  5. Step 5: Solve for x
    x = 604,968,173,209/354,453
  6. Step 6: Final answer
    x = 1,706,765.56

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.