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Finding the Third Proportional to 520,256.25 and 1,139,933.25

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Solution

The third proportional to 520,256.25 and 1,139,933.25 is: 2,497,707.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,256.25 : 1,139,933.25 = 1,139,933.25 : x
  2. Step 2: Convert to fraction form
    520,256.25/1,139,933.25 = 1,139,933.25/x
  3. Step 3: Cross multiply
    520,256.25x = 1,139,933.25 × 1,139,933.25
  4. Step 4: Simplify right side
    520,256.25x = 1,299,447,814,455.56
  5. Step 5: Solve for x
    x = 1,299,447,814,455.56/520,256.25
  6. Step 6: Final answer
    x = 2,497,707.26

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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.