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Finding the Third Proportional to 242,073.56 and 493,988.63

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Solution

The third proportional to 242,073.56 and 493,988.63 is: 1,008,060.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,073.56 : 493,988.63 = 493,988.63 : x
  2. Step 2: Convert to fraction form
    242,073.56/493,988.63 = 493,988.63/x
  3. Step 3: Cross multiply
    242,073.56x = 493,988.63 × 493,988.63
  4. Step 4: Simplify right side
    242,073.56x = 244,024,761,629.39
  5. Step 5: Solve for x
    x = 244,024,761,629.39/242,073.56
  6. Step 6: Final answer
    x = 1,008,060.36

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.