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Finding the Third Proportional to 517,396 and 772,906

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Solution

The third proportional to 517,396 and 772,906 is: 1,154,596.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,396 : 772,906 = 772,906 : x
  2. Step 2: Convert to fraction form
    517,396/772,906 = 772,906/x
  3. Step 3: Cross multiply
    517,396x = 772,906 × 772,906
  4. Step 4: Simplify right side
    517,396x = 597,383,684,836
  5. Step 5: Solve for x
    x = 597,383,684,836/517,396
  6. Step 6: Final answer
    x = 1,154,596.64

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Why These Related Problems?

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