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Finding the Third Proportional to 241,461 and 530,496

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Solution

The third proportional to 241,461 and 530,496 is: 1,165,513.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,461 : 530,496 = 530,496 : x
  2. Step 2: Convert to fraction form
    241,461/530,496 = 530,496/x
  3. Step 3: Cross multiply
    241,461x = 530,496 × 530,496
  4. Step 4: Simplify right side
    241,461x = 281,426,006,016
  5. Step 5: Solve for x
    x = 281,426,006,016/241,461
  6. Step 6: Final answer
    x = 1,165,513.30

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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.