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Finding the Third Proportional to 210,046.50 and 455,768.44

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Solution

The third proportional to 210,046.50 and 455,768.44 is: 988,947.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,046.50 : 455,768.44 = 455,768.44 : x
  2. Step 2: Convert to fraction form
    210,046.50/455,768.44 = 455,768.44/x
  3. Step 3: Cross multiply
    210,046.50x = 455,768.44 × 455,768.44
  4. Step 4: Simplify right side
    210,046.50x = 207,724,868,621.19
  5. Step 5: Solve for x
    x = 207,724,868,621.19/210,046.50
  6. Step 6: Final answer
    x = 988,947.06

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.