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Finding the Third Proportional to 601,800 and 884,272

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Solution

The third proportional to 601,800 and 884,272 is: 1,299,330.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,800 : 884,272 = 884,272 : x
  2. Step 2: Convert to fraction form
    601,800/884,272 = 884,272/x
  3. Step 3: Cross multiply
    601,800x = 884,272 × 884,272
  4. Step 4: Simplify right side
    601,800x = 781,936,969,984
  5. Step 5: Solve for x
    x = 781,936,969,984/601,800
  6. Step 6: Final answer
    x = 1,299,330.29

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.