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Finding the Third Proportional to 520,056 and 776,682

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Solution

The third proportional to 520,056 and 776,682 is: 1,159,942.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,056 : 776,682 = 776,682 : x
  2. Step 2: Convert to fraction form
    520,056/776,682 = 776,682/x
  3. Step 3: Cross multiply
    520,056x = 776,682 × 776,682
  4. Step 4: Simplify right side
    520,056x = 603,234,929,124
  5. Step 5: Solve for x
    x = 603,234,929,124/520,056
  6. Step 6: Final answer
    x = 1,159,942.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.