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Finding the Third Proportional to 241,473 and 530,754

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Solution

The third proportional to 241,473 and 530,754 is: 1,166,589.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,473 : 530,754 = 530,754 : x
  2. Step 2: Convert to fraction form
    241,473/530,754 = 530,754/x
  3. Step 3: Cross multiply
    241,473x = 530,754 × 530,754
  4. Step 4: Simplify right side
    241,473x = 281,699,808,516
  5. Step 5: Solve for x
    x = 281,699,808,516/241,473
  6. Step 6: Final answer
    x = 1,166,589.26

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.