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Finding the Third Proportional to 262,768 and 400,713

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Solution

The third proportional to 262,768 and 400,713 is: 611,074.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,768 : 400,713 = 400,713 : x
  2. Step 2: Convert to fraction form
    262,768/400,713 = 400,713/x
  3. Step 3: Cross multiply
    262,768x = 400,713 × 400,713
  4. Step 4: Simplify right side
    262,768x = 160,570,908,369
  5. Step 5: Solve for x
    x = 160,570,908,369/262,768
  6. Step 6: Final answer
    x = 611,074.82

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.