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Finding the Third Proportional to 473,728 and 614,608

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Solution

The third proportional to 473,728 and 614,608 is: 797,383.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,728 : 614,608 = 614,608 : x
  2. Step 2: Convert to fraction form
    473,728/614,608 = 614,608/x
  3. Step 3: Cross multiply
    473,728x = 614,608 × 614,608
  4. Step 4: Simplify right side
    473,728x = 377,742,993,664
  5. Step 5: Solve for x
    x = 377,742,993,664/473,728
  6. Step 6: Final answer
    x = 797,383.72

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.