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Finding the Third Proportional to 234,533 and 553,095

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Solution

The third proportional to 234,533 and 553,095 is: 1,304,354.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,533 : 553,095 = 553,095 : x
  2. Step 2: Convert to fraction form
    234,533/553,095 = 553,095/x
  3. Step 3: Cross multiply
    234,533x = 553,095 × 553,095
  4. Step 4: Simplify right side
    234,533x = 305,914,079,025
  5. Step 5: Solve for x
    x = 305,914,079,025/234,533
  6. Step 6: Final answer
    x = 1,304,354.10

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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.