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Finding the Third Proportional to 262,786 and 595,729

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Solution

The third proportional to 262,786 and 595,729 is: 1,350,502.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,786 : 595,729 = 595,729 : x
  2. Step 2: Convert to fraction form
    262,786/595,729 = 595,729/x
  3. Step 3: Cross multiply
    262,786x = 595,729 × 595,729
  4. Step 4: Simplify right side
    262,786x = 354,893,041,441
  5. Step 5: Solve for x
    x = 354,893,041,441/262,786
  6. Step 6: Final answer
    x = 1,350,502.09

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.