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Finding the Third Proportional to 517,434 and 772,956

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Solution

The third proportional to 517,434 and 772,956 is: 1,154,661.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,434 : 772,956 = 772,956 : x
  2. Step 2: Convert to fraction form
    517,434/772,956 = 772,956/x
  3. Step 3: Cross multiply
    517,434x = 772,956 × 772,956
  4. Step 4: Simplify right side
    517,434x = 597,460,977,936
  5. Step 5: Solve for x
    x = 597,460,977,936/517,434
  6. Step 6: Final answer
    x = 1,154,661.23

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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.