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Finding the Third Proportional to 234,835 and 523,457

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Solution

The third proportional to 234,835 and 523,457 is: 1,166,807.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,835 : 523,457 = 523,457 : x
  2. Step 2: Convert to fraction form
    234,835/523,457 = 523,457/x
  3. Step 3: Cross multiply
    234,835x = 523,457 × 523,457
  4. Step 4: Simplify right side
    234,835x = 274,007,230,849
  5. Step 5: Solve for x
    x = 274,007,230,849/234,835
  6. Step 6: Final answer
    x = 1,166,807.46

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.