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Finding the Third Proportional to 360,183 and 776,226

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Solution

The third proportional to 360,183 and 776,226 is: 1,672,835.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,183 : 776,226 = 776,226 : x
  2. Step 2: Convert to fraction form
    360,183/776,226 = 776,226/x
  3. Step 3: Cross multiply
    360,183x = 776,226 × 776,226
  4. Step 4: Simplify right side
    360,183x = 602,526,803,076
  5. Step 5: Solve for x
    x = 602,526,803,076/360,183
  6. Step 6: Final answer
    x = 1,672,835.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.