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Finding the Third Proportional to 221,721 and 476,656.50

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Solution

The third proportional to 221,721 and 476,656.50 is: 1,024,717.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,721 : 476,656.50 = 476,656.50 : x
  2. Step 2: Convert to fraction form
    221,721/476,656.50 = 476,656.50/x
  3. Step 3: Cross multiply
    221,721x = 476,656.50 × 476,656.50
  4. Step 4: Simplify right side
    221,721x = 227,201,418,992.25
  5. Step 5: Solve for x
    x = 227,201,418,992.25/221,721
  6. Step 6: Final answer
    x = 1,024,717.64

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.