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Finding the Third Proportional to 517,314 and 776,682

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Solution

The third proportional to 517,314 and 776,682 is: 1,166,090.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,314 : 776,682 = 776,682 : x
  2. Step 2: Convert to fraction form
    517,314/776,682 = 776,682/x
  3. Step 3: Cross multiply
    517,314x = 776,682 × 776,682
  4. Step 4: Simplify right side
    517,314x = 603,234,929,124
  5. Step 5: Solve for x
    x = 603,234,929,124/517,314
  6. Step 6: Final answer
    x = 1,166,090.48

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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.