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Finding the Third Proportional to 211,683 and 457,494

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Solution

The third proportional to 211,683 and 457,494 is: 988,746.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,683 : 457,494 = 457,494 : x
  2. Step 2: Convert to fraction form
    211,683/457,494 = 457,494/x
  3. Step 3: Cross multiply
    211,683x = 457,494 × 457,494
  4. Step 4: Simplify right side
    211,683x = 209,300,760,036
  5. Step 5: Solve for x
    x = 209,300,760,036/211,683
  6. Step 6: Final answer
    x = 988,746.19

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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.