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Finding the Third Proportional to 470,223 and 612,561

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Solution

The third proportional to 470,223 and 612,561 is: 797,985.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,223 : 612,561 = 612,561 : x
  2. Step 2: Convert to fraction form
    470,223/612,561 = 612,561/x
  3. Step 3: Cross multiply
    470,223x = 612,561 × 612,561
  4. Step 4: Simplify right side
    470,223x = 375,230,978,721
  5. Step 5: Solve for x
    x = 375,230,978,721/470,223
  6. Step 6: Final answer
    x = 797,985.17

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