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Finding the Third Proportional to 217,492 and 461,096

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Solution

The third proportional to 217,492 and 461,096 is: 977,551.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,492 : 461,096 = 461,096 : x
  2. Step 2: Convert to fraction form
    217,492/461,096 = 461,096/x
  3. Step 3: Cross multiply
    217,492x = 461,096 × 461,096
  4. Step 4: Simplify right side
    217,492x = 212,609,521,216
  5. Step 5: Solve for x
    x = 212,609,521,216/217,492
  6. Step 6: Final answer
    x = 977,551.00

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.