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Finding the Third Proportional to 211,492 and 457,832

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Solution

The third proportional to 211,492 and 457,832 is: 991,101.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,492 : 457,832 = 457,832 : x
  2. Step 2: Convert to fraction form
    211,492/457,832 = 457,832/x
  3. Step 3: Cross multiply
    211,492x = 457,832 × 457,832
  4. Step 4: Simplify right side
    211,492x = 209,610,140,224
  5. Step 5: Solve for x
    x = 209,610,140,224/211,492
  6. Step 6: Final answer
    x = 991,101.98

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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.