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Finding the Third Proportional to 234,548 and 457,431

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Solution

The third proportional to 234,548 and 457,431 is: 892,112.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,548 : 457,431 = 457,431 : x
  2. Step 2: Convert to fraction form
    234,548/457,431 = 457,431/x
  3. Step 3: Cross multiply
    234,548x = 457,431 × 457,431
  4. Step 4: Simplify right side
    234,548x = 209,243,119,761
  5. Step 5: Solve for x
    x = 209,243,119,761/234,548
  6. Step 6: Final answer
    x = 892,112.15

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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.