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Finding the Third Proportional to 284,721 and 577,623

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Solution

The third proportional to 284,721 and 577,623 is: 1,171,843.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,721 : 577,623 = 577,623 : x
  2. Step 2: Convert to fraction form
    284,721/577,623 = 577,623/x
  3. Step 3: Cross multiply
    284,721x = 577,623 × 577,623
  4. Step 4: Simplify right side
    284,721x = 333,648,330,129
  5. Step 5: Solve for x
    x = 333,648,330,129/284,721
  6. Step 6: Final answer
    x = 1,171,843.07

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.