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Finding the Third Proportional to 210,448 and 457,760

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Solution

The third proportional to 210,448 and 457,760 is: 995,705.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,448 : 457,760 = 457,760 : x
  2. Step 2: Convert to fraction form
    210,448/457,760 = 457,760/x
  3. Step 3: Cross multiply
    210,448x = 457,760 × 457,760
  4. Step 4: Simplify right side
    210,448x = 209,544,217,600
  5. Step 5: Solve for x
    x = 209,544,217,600/210,448
  6. Step 6: Final answer
    x = 995,705.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.