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Finding the Third Proportional to 590,632 and 885,765

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Solution

The third proportional to 590,632 and 885,765 is: 1,328,373.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,632 : 885,765 = 885,765 : x
  2. Step 2: Convert to fraction form
    590,632/885,765 = 885,765/x
  3. Step 3: Cross multiply
    590,632x = 885,765 × 885,765
  4. Step 4: Simplify right side
    590,632x = 784,579,635,225
  5. Step 5: Solve for x
    x = 784,579,635,225/590,632
  6. Step 6: Final answer
    x = 1,328,373.06

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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.