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Finding the Third Proportional to 524,036.25 and 1,122,781.50

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Solution

The third proportional to 524,036.25 and 1,122,781.50 is: 2,405,631.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,036.25 : 1,122,781.50 = 1,122,781.50 : x
  2. Step 2: Convert to fraction form
    524,036.25/1,122,781.50 = 1,122,781.50/x
  3. Step 3: Cross multiply
    524,036.25x = 1,122,781.50 × 1,122,781.50
  4. Step 4: Simplify right side
    524,036.25x = 1,260,638,296,742.25
  5. Step 5: Solve for x
    x = 1,260,638,296,742.25/524,036.25
  6. Step 6: Final answer
    x = 2,405,631.86

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.