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Finding the Third Proportional to 221,592 and 486,265.50

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Solution

The third proportional to 221,592 and 486,265.50 is: 1,067,069.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,592 : 486,265.50 = 486,265.50 : x
  2. Step 2: Convert to fraction form
    221,592/486,265.50 = 486,265.50/x
  3. Step 3: Cross multiply
    221,592x = 486,265.50 × 486,265.50
  4. Step 4: Simplify right side
    221,592x = 236,454,136,490.25
  5. Step 5: Solve for x
    x = 236,454,136,490.25/221,592
  6. Step 6: Final answer
    x = 1,067,069.82

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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.