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Finding the Third Proportional to 234,796 and 457,820

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Solution

The third proportional to 234,796 and 457,820 is: 892,686.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,796 : 457,820 = 457,820 : x
  2. Step 2: Convert to fraction form
    234,796/457,820 = 457,820/x
  3. Step 3: Cross multiply
    234,796x = 457,820 × 457,820
  4. Step 4: Simplify right side
    234,796x = 209,599,152,400
  5. Step 5: Solve for x
    x = 209,599,152,400/234,796
  6. Step 6: Final answer
    x = 892,686.21

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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.