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Finding the Third Proportional to 211,693 and 456,622

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Solution

The third proportional to 211,693 and 456,622 is: 984,934.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,693 : 456,622 = 456,622 : x
  2. Step 2: Convert to fraction form
    211,693/456,622 = 456,622/x
  3. Step 3: Cross multiply
    211,693x = 456,622 × 456,622
  4. Step 4: Simplify right side
    211,693x = 208,503,650,884
  5. Step 5: Solve for x
    x = 208,503,650,884/211,693
  6. Step 6: Final answer
    x = 984,934.08

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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.