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Finding the Third Proportional to 468,272 and 992,272

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Solution

The third proportional to 468,272 and 992,272 is: 2,102,632.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,272 : 992,272 = 992,272 : x
  2. Step 2: Convert to fraction form
    468,272/992,272 = 992,272/x
  3. Step 3: Cross multiply
    468,272x = 992,272 × 992,272
  4. Step 4: Simplify right side
    468,272x = 984,603,721,984
  5. Step 5: Solve for x
    x = 984,603,721,984/468,272
  6. Step 6: Final answer
    x = 2,102,632.06

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.