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Finding the Third Proportional to 242,033 and 524,891

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Solution

The third proportional to 242,033 and 524,891 is: 1,138,318.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,033 : 524,891 = 524,891 : x
  2. Step 2: Convert to fraction form
    242,033/524,891 = 524,891/x
  3. Step 3: Cross multiply
    242,033x = 524,891 × 524,891
  4. Step 4: Simplify right side
    242,033x = 275,510,561,881
  5. Step 5: Solve for x
    x = 275,510,561,881/242,033
  6. Step 6: Final answer
    x = 1,138,318.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.