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Finding the Third Proportional to 216,549 and 456,795

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Solution

The third proportional to 216,549 and 456,795 is: 963,577.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,549 : 456,795 = 456,795 : x
  2. Step 2: Convert to fraction form
    216,549/456,795 = 456,795/x
  3. Step 3: Cross multiply
    216,549x = 456,795 × 456,795
  4. Step 4: Simplify right side
    216,549x = 208,661,672,025
  5. Step 5: Solve for x
    x = 208,661,672,025/216,549
  6. Step 6: Final answer
    x = 963,577.17

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.