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Finding the Third Proportional to 187,827 and 417,643

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Solution

The third proportional to 187,827 and 417,643 is: 928,650.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,827 : 417,643 = 417,643 : x
  2. Step 2: Convert to fraction form
    187,827/417,643 = 417,643/x
  3. Step 3: Cross multiply
    187,827x = 417,643 × 417,643
  4. Step 4: Simplify right side
    187,827x = 174,425,675,449
  5. Step 5: Solve for x
    x = 174,425,675,449/187,827
  6. Step 6: Final answer
    x = 928,650.70

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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.