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Finding the Third Proportional to 221,235 and 482,655

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Solution

The third proportional to 221,235 and 482,655 is: 1,052,979.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,235 : 482,655 = 482,655 : x
  2. Step 2: Convert to fraction form
    221,235/482,655 = 482,655/x
  3. Step 3: Cross multiply
    221,235x = 482,655 × 482,655
  4. Step 4: Simplify right side
    221,235x = 232,955,849,025
  5. Step 5: Solve for x
    x = 232,955,849,025/221,235
  6. Step 6: Final answer
    x = 1,052,979.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.