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Finding the Third Proportional to 517,375.69 and 772,877.25

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Solution

The third proportional to 517,375.69 and 772,877.25 is: 1,154,556.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,375.69 : 772,877.25 = 772,877.25 : x
  2. Step 2: Convert to fraction form
    517,375.69/772,877.25 = 772,877.25/x
  3. Step 3: Cross multiply
    517,375.69x = 772,877.25 × 772,877.25
  4. Step 4: Simplify right side
    517,375.69x = 597,339,243,567.56
  5. Step 5: Solve for x
    x = 597,339,243,567.56/517,375.69
  6. Step 6: Final answer
    x = 1,154,556.08

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.