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Finding the Third Proportional to 584,755 and 874,753

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Solution

The third proportional to 584,755 and 874,753 is: 1,308,569.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,755 : 874,753 = 874,753 : x
  2. Step 2: Convert to fraction form
    584,755/874,753 = 874,753/x
  3. Step 3: Cross multiply
    584,755x = 874,753 × 874,753
  4. Step 4: Simplify right side
    584,755x = 765,192,811,009
  5. Step 5: Solve for x
    x = 765,192,811,009/584,755
  6. Step 6: Final answer
    x = 1,308,569.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.