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Finding the Third Proportional to 590,659 and 885,796

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Solution

The third proportional to 590,659 and 885,796 is: 1,328,405.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,659 : 885,796 = 885,796 : x
  2. Step 2: Convert to fraction form
    590,659/885,796 = 885,796/x
  3. Step 3: Cross multiply
    590,659x = 885,796 × 885,796
  4. Step 4: Simplify right side
    590,659x = 784,634,553,616
  5. Step 5: Solve for x
    x = 784,634,553,616/590,659
  6. Step 6: Final answer
    x = 1,328,405.31

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