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Finding the Third Proportional to 187,632 and 434,007

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Solution

The third proportional to 187,632 and 434,007 is: 1,003,891.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,632 : 434,007 = 434,007 : x
  2. Step 2: Convert to fraction form
    187,632/434,007 = 434,007/x
  3. Step 3: Cross multiply
    187,632x = 434,007 × 434,007
  4. Step 4: Simplify right side
    187,632x = 188,362,076,049
  5. Step 5: Solve for x
    x = 188,362,076,049/187,632
  6. Step 6: Final answer
    x = 1,003,891.00

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.