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Finding the Third Proportional to 266,605 and 584,873

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Solution

The third proportional to 266,605 and 584,873 is: 1,283,083.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,605 : 584,873 = 584,873 : x
  2. Step 2: Convert to fraction form
    266,605/584,873 = 584,873/x
  3. Step 3: Cross multiply
    266,605x = 584,873 × 584,873
  4. Step 4: Simplify right side
    266,605x = 342,076,426,129
  5. Step 5: Solve for x
    x = 342,076,426,129/266,605
  6. Step 6: Final answer
    x = 1,283,083.31

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.