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Finding the Third Proportional to 517,378.50 and 772,881

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Solution

The third proportional to 517,378.50 and 772,881 is: 1,154,561.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,378.50 : 772,881 = 772,881 : x
  2. Step 2: Convert to fraction form
    517,378.50/772,881 = 772,881/x
  3. Step 3: Cross multiply
    517,378.50x = 772,881 × 772,881
  4. Step 4: Simplify right side
    517,378.50x = 597,345,040,161
  5. Step 5: Solve for x
    x = 597,345,040,161/517,378.50
  6. Step 6: Final answer
    x = 1,154,561.00

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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.