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Finding the Third Proportional to 211,694 and 456,624

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Solution

The third proportional to 211,694 and 456,624 is: 984,938.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,694 : 456,624 = 456,624 : x
  2. Step 2: Convert to fraction form
    211,694/456,624 = 456,624/x
  3. Step 3: Cross multiply
    211,694x = 456,624 × 456,624
  4. Step 4: Simplify right side
    211,694x = 208,505,477,376
  5. Step 5: Solve for x
    x = 208,505,477,376/211,694
  6. Step 6: Final answer
    x = 984,938.06

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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.