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Finding the Third Proportional to 505,442 and 1,111,971.50

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Solution

The third proportional to 505,442 and 1,111,971.50 is: 2,446,335.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,442 : 1,111,971.50 = 1,111,971.50 : x
  2. Step 2: Convert to fraction form
    505,442/1,111,971.50 = 1,111,971.50/x
  3. Step 3: Cross multiply
    505,442x = 1,111,971.50 × 1,111,971.50
  4. Step 4: Simplify right side
    505,442x = 1,236,480,616,812.25
  5. Step 5: Solve for x
    x = 1,236,480,616,812.25/505,442
  6. Step 6: Final answer
    x = 2,446,335.32

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.