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Finding the Third Proportional to 187,784 and 417,546

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Solution

The third proportional to 187,784 and 417,546 is: 928,431.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,784 : 417,546 = 417,546 : x
  2. Step 2: Convert to fraction form
    187,784/417,546 = 417,546/x
  3. Step 3: Cross multiply
    187,784x = 417,546 × 417,546
  4. Step 4: Simplify right side
    187,784x = 174,344,662,116
  5. Step 5: Solve for x
    x = 174,344,662,116/187,784
  6. Step 6: Final answer
    x = 928,431.93

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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.