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Finding the Third Proportional to 187,824 and 417,641

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Solution

The third proportional to 187,824 and 417,641 is: 928,656.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,824 : 417,641 = 417,641 : x
  2. Step 2: Convert to fraction form
    187,824/417,641 = 417,641/x
  3. Step 3: Cross multiply
    187,824x = 417,641 × 417,641
  4. Step 4: Simplify right side
    187,824x = 174,424,004,881
  5. Step 5: Solve for x
    x = 174,424,004,881/187,824
  6. Step 6: Final answer
    x = 928,656.64

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.