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Finding the Third Proportional to 548,726 and 728,283

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Solution

The third proportional to 548,726 and 728,283 is: 966,595.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,726 : 728,283 = 728,283 : x
  2. Step 2: Convert to fraction form
    548,726/728,283 = 728,283/x
  3. Step 3: Cross multiply
    548,726x = 728,283 × 728,283
  4. Step 4: Simplify right side
    548,726x = 530,396,128,089
  5. Step 5: Solve for x
    x = 530,396,128,089/548,726
  6. Step 6: Final answer
    x = 966,595.58

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.