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Finding the Third Proportional to 375,628 and 885,824

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Solution

The third proportional to 375,628 and 885,824 is: 2,088,992.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,628 : 885,824 = 885,824 : x
  2. Step 2: Convert to fraction form
    375,628/885,824 = 885,824/x
  3. Step 3: Cross multiply
    375,628x = 885,824 × 885,824
  4. Step 4: Simplify right side
    375,628x = 784,684,158,976
  5. Step 5: Solve for x
    x = 784,684,158,976/375,628
  6. Step 6: Final answer
    x = 2,088,992.72

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.