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Finding the Third Proportional to 221,881.50 and 486,000

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Solution

The third proportional to 221,881.50 and 486,000 is: 1,064,514.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,881.50 : 486,000 = 486,000 : x
  2. Step 2: Convert to fraction form
    221,881.50/486,000 = 486,000/x
  3. Step 3: Cross multiply
    221,881.50x = 486,000 × 486,000
  4. Step 4: Simplify right side
    221,881.50x = 236,196,000,000
  5. Step 5: Solve for x
    x = 236,196,000,000/221,881.50
  6. Step 6: Final answer
    x = 1,064,514.17

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.