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Finding the Third Proportional to 518,552 and 777,837

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Solution

The third proportional to 518,552 and 777,837 is: 1,166,769.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,552 : 777,837 = 777,837 : x
  2. Step 2: Convert to fraction form
    518,552/777,837 = 777,837/x
  3. Step 3: Cross multiply
    518,552x = 777,837 × 777,837
  4. Step 4: Simplify right side
    518,552x = 605,030,398,569
  5. Step 5: Solve for x
    x = 605,030,398,569/518,552
  6. Step 6: Final answer
    x = 1,166,769.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.