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Finding the Third Proportional to 526,672.13 and 794,746.69

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Solution

The third proportional to 526,672.13 and 794,746.69 is: 1,199,270.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,672.13 : 794,746.69 = 794,746.69 : x
  2. Step 2: Convert to fraction form
    526,672.13/794,746.69 = 794,746.69/x
  3. Step 3: Cross multiply
    526,672.13x = 794,746.69 × 794,746.69
  4. Step 4: Simplify right side
    526,672.13x = 631,622,297,292.22
  5. Step 5: Solve for x
    x = 631,622,297,292.22/526,672.13
  6. Step 6: Final answer
    x = 1,199,270.41

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.