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Finding the Third Proportional to 241,266 and 514,596

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Solution

The third proportional to 241,266 and 514,596 is: 1,097,581.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,266 : 514,596 = 514,596 : x
  2. Step 2: Convert to fraction form
    241,266/514,596 = 514,596/x
  3. Step 3: Cross multiply
    241,266x = 514,596 × 514,596
  4. Step 4: Simplify right side
    241,266x = 264,809,043,216
  5. Step 5: Solve for x
    x = 264,809,043,216/241,266
  6. Step 6: Final answer
    x = 1,097,581.27

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.