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Finding the Third Proportional to 211,498 and 457,844

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Solution

The third proportional to 211,498 and 457,844 is: 991,125.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,498 : 457,844 = 457,844 : x
  2. Step 2: Convert to fraction form
    211,498/457,844 = 457,844/x
  3. Step 3: Cross multiply
    211,498x = 457,844 × 457,844
  4. Step 4: Simplify right side
    211,498x = 209,621,128,336
  5. Step 5: Solve for x
    x = 209,621,128,336/211,498
  6. Step 6: Final answer
    x = 991,125.82

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.