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Finding the Third Proportional to 212,094 and 457,397

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Solution

The third proportional to 212,094 and 457,397 is: 986,411.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,094 : 457,397 = 457,397 : x
  2. Step 2: Convert to fraction form
    212,094/457,397 = 457,397/x
  3. Step 3: Cross multiply
    212,094x = 457,397 × 457,397
  4. Step 4: Simplify right side
    212,094x = 209,212,015,609
  5. Step 5: Solve for x
    x = 209,212,015,609/212,094
  6. Step 6: Final answer
    x = 986,411.76

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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.