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Finding the Third Proportional to 520,022 and 776,631

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Solution

The third proportional to 520,022 and 776,631 is: 1,159,865.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,022 : 776,631 = 776,631 : x
  2. Step 2: Convert to fraction form
    520,022/776,631 = 776,631/x
  3. Step 3: Cross multiply
    520,022x = 776,631 × 776,631
  4. Step 4: Simplify right side
    520,022x = 603,155,710,161
  5. Step 5: Solve for x
    x = 603,155,710,161/520,022
  6. Step 6: Final answer
    x = 1,159,865.76

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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.