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Finding the Third Proportional to 501,821.58 and 752,886.14

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Solution

The third proportional to 501,821.58 and 752,886.14 is: 1,129,559.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,821.58 : 752,886.14 = 752,886.14 : x
  2. Step 2: Convert to fraction form
    501,821.58/752,886.14 = 752,886.14/x
  3. Step 3: Cross multiply
    501,821.58x = 752,886.14 × 752,886.14
  4. Step 4: Simplify right side
    501,821.58x = 566,837,540,745.21
  5. Step 5: Solve for x
    x = 566,837,540,745.21/501,821.58
  6. Step 6: Final answer
    x = 1,129,559.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.