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Finding the Third Proportional to 520,096 and 776,712

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Solution

The third proportional to 520,096 and 776,712 is: 1,159,942.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,096 : 776,712 = 776,712 : x
  2. Step 2: Convert to fraction form
    520,096/776,712 = 776,712/x
  3. Step 3: Cross multiply
    520,096x = 776,712 × 776,712
  4. Step 4: Simplify right side
    520,096x = 603,281,530,944
  5. Step 5: Solve for x
    x = 603,281,530,944/520,096
  6. Step 6: Final answer
    x = 1,159,942.65

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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.