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Finding the Third Proportional to 513,064.13 and 772,674.19

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Solution

The third proportional to 513,064.13 and 772,674.19 is: 1,163,646.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,064.13 : 772,674.19 = 772,674.19 : x
  2. Step 2: Convert to fraction form
    513,064.13/772,674.19 = 772,674.19/x
  3. Step 3: Cross multiply
    513,064.13x = 772,674.19 × 772,674.19
  4. Step 4: Simplify right side
    513,064.13x = 597,025,400,028.79
  5. Step 5: Solve for x
    x = 597,025,400,028.79/513,064.13
  6. Step 6: Final answer
    x = 1,163,646.75

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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.