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Finding the Third Proportional to 234,576 and 553,203

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Solution

The third proportional to 234,576 and 553,203 is: 1,304,624.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,576 : 553,203 = 553,203 : x
  2. Step 2: Convert to fraction form
    234,576/553,203 = 553,203/x
  3. Step 3: Cross multiply
    234,576x = 553,203 × 553,203
  4. Step 4: Simplify right side
    234,576x = 306,033,559,209
  5. Step 5: Solve for x
    x = 306,033,559,209/234,576
  6. Step 6: Final answer
    x = 1,304,624.34

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.