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Finding the Third Proportional to 221,809 and 480,985.50

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Solution

The third proportional to 221,809 and 480,985.50 is: 1,043,001.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,809 : 480,985.50 = 480,985.50 : x
  2. Step 2: Convert to fraction form
    221,809/480,985.50 = 480,985.50/x
  3. Step 3: Cross multiply
    221,809x = 480,985.50 × 480,985.50
  4. Step 4: Simplify right side
    221,809x = 231,347,051,210.25
  5. Step 5: Solve for x
    x = 231,347,051,210.25/221,809
  6. Step 6: Final answer
    x = 1,043,001.19

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.