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Finding the Third Proportional to 211,926 and 460,302

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Solution

The third proportional to 211,926 and 460,302 is: 999,773.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,926 : 460,302 = 460,302 : x
  2. Step 2: Convert to fraction form
    211,926/460,302 = 460,302/x
  3. Step 3: Cross multiply
    211,926x = 460,302 × 460,302
  4. Step 4: Simplify right side
    211,926x = 211,877,931,204
  5. Step 5: Solve for x
    x = 211,877,931,204/211,926
  6. Step 6: Final answer
    x = 999,773.18

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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.