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Finding the Third Proportional to 274,114.13 and 421,875.84

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Solution

The third proportional to 274,114.13 and 421,875.84 is: 649,288.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,114.13 : 421,875.84 = 421,875.84 : x
  2. Step 2: Convert to fraction form
    274,114.13/421,875.84 = 421,875.84/x
  3. Step 3: Cross multiply
    274,114.13x = 421,875.84 × 421,875.84
  4. Step 4: Simplify right side
    274,114.13x = 177,979,227,539.77
  5. Step 5: Solve for x
    x = 177,979,227,539.77/274,114.13
  6. Step 6: Final answer
    x = 649,288.79

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.