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Finding the Third Proportional to 534,768.75 and 778,015.13

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Solution

The third proportional to 534,768.75 and 778,015.13 is: 1,131,905.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,768.75 : 778,015.13 = 778,015.13 : x
  2. Step 2: Convert to fraction form
    534,768.75/778,015.13 = 778,015.13/x
  3. Step 3: Cross multiply
    534,768.75x = 778,015.13 × 778,015.13
  4. Step 4: Simplify right side
    534,768.75x = 605,307,534,728.77
  5. Step 5: Solve for x
    x = 605,307,534,728.77/534,768.75
  6. Step 6: Final answer
    x = 1,131,905.21

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.