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Finding the Third Proportional to 590,664 and 885,804

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Solution

The third proportional to 590,664 and 885,804 is: 1,328,418.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,664 : 885,804 = 885,804 : x
  2. Step 2: Convert to fraction form
    590,664/885,804 = 885,804/x
  3. Step 3: Cross multiply
    590,664x = 885,804 × 885,804
  4. Step 4: Simplify right side
    590,664x = 784,648,726,416
  5. Step 5: Solve for x
    x = 784,648,726,416/590,664
  6. Step 6: Final answer
    x = 1,328,418.06

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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.