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Finding the Third Proportional to 234,541 and 457,415

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Solution

The third proportional to 234,541 and 457,415 is: 892,076.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,541 : 457,415 = 457,415 : x
  2. Step 2: Convert to fraction form
    234,541/457,415 = 457,415/x
  3. Step 3: Cross multiply
    234,541x = 457,415 × 457,415
  4. Step 4: Simplify right side
    234,541x = 209,228,482,225
  5. Step 5: Solve for x
    x = 209,228,482,225/234,541
  6. Step 6: Final answer
    x = 892,076.36

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.