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Finding the Third Proportional to 517,866 and 774,639

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Solution

The third proportional to 517,866 and 774,639 is: 1,158,727.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,866 : 774,639 = 774,639 : x
  2. Step 2: Convert to fraction form
    517,866/774,639 = 774,639/x
  3. Step 3: Cross multiply
    517,866x = 774,639 × 774,639
  4. Step 4: Simplify right side
    517,866x = 600,065,580,321
  5. Step 5: Solve for x
    x = 600,065,580,321/517,866
  6. Step 6: Final answer
    x = 1,158,727.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.