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Finding the Third Proportional to 211,125 and 457,485

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Solution

The third proportional to 211,125 and 457,485 is: 991,320.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,125 : 457,485 = 457,485 : x
  2. Step 2: Convert to fraction form
    211,125/457,485 = 457,485/x
  3. Step 3: Cross multiply
    211,125x = 457,485 × 457,485
  4. Step 4: Simplify right side
    211,125x = 209,292,525,225
  5. Step 5: Solve for x
    x = 209,292,525,225/211,125
  6. Step 6: Final answer
    x = 991,320.43

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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.