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Finding the Third Proportional to 225,808 and 482,752

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Solution

The third proportional to 225,808 and 482,752 is: 1,032,069.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,808 : 482,752 = 482,752 : x
  2. Step 2: Convert to fraction form
    225,808/482,752 = 482,752/x
  3. Step 3: Cross multiply
    225,808x = 482,752 × 482,752
  4. Step 4: Simplify right side
    225,808x = 233,049,493,504
  5. Step 5: Solve for x
    x = 233,049,493,504/225,808
  6. Step 6: Final answer
    x = 1,032,069.25

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.