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Finding the Third Proportional to 234,538 and 553,106

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Solution

The third proportional to 234,538 and 553,106 is: 1,304,378.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,538 : 553,106 = 553,106 : x
  2. Step 2: Convert to fraction form
    234,538/553,106 = 553,106/x
  3. Step 3: Cross multiply
    234,538x = 553,106 × 553,106
  4. Step 4: Simplify right side
    234,538x = 305,926,247,236
  5. Step 5: Solve for x
    x = 305,926,247,236/234,538
  6. Step 6: Final answer
    x = 1,304,378.17

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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.